diff --git a/CONTRIBUTING.md b/CONTRIBUTING.md
index dd7ce4b3a47d..444f9d46a3a5 100644
--- a/CONTRIBUTING.md
+++ b/CONTRIBUTING.md
@@ -104,8 +104,7 @@ supported:
   of the library, the version of the stub should be bumped (note that
   previous versions are still available on PyPI). Some legacy stubs are
   marked with version `0.1`, indicating that their supported version is
-  unknown and needs to be updated. Other stubs don't use the asterisk
-  to denote the API-independent part.
+  unknown and needs to be updated.
 * `python2` (default: `false`): If set to `true`, the top-level stubs
   support both Python 2 and Python 3.
 * `requires` (optional): A list of other stub packages or packages with type
diff --git a/scripts/create_baseline_stubs.py b/scripts/create_baseline_stubs.py
index ba0c7b377b21..7766e60797f8 100644
--- a/scripts/create_baseline_stubs.py
+++ b/scripts/create_baseline_stubs.py
@@ -80,7 +80,7 @@ def create_metadata(stub_dir: str, version: str) -> None:
     assert not os.path.exists(fnam)
     print(f"Writing {fnam}")
     with open(fnam, "w") as f:
-        f.write(f'version = "{version}"\n')
+        f.write(f'version = "{version}.*"\n')
 
 
 def add_pyright_exclusion(stub_dir: str) -> None:
diff --git a/stubs/Deprecated/METADATA.toml b/stubs/Deprecated/METADATA.toml
index 9f4230ca4525..1f0b2e4bf4a2 100644
--- a/stubs/Deprecated/METADATA.toml
+++ b/stubs/Deprecated/METADATA.toml
@@ -1,3 +1,3 @@
-version = "1.2"
+version = "1.2.*"
 python2 = true
 requires = []
diff --git a/stubs/Flask/METADATA.toml b/stubs/Flask/METADATA.toml
index cd91d47eebb4..db94dc7ccab2 100644
--- a/stubs/Flask/METADATA.toml
+++ b/stubs/Flask/METADATA.toml
@@ -1,4 +1,4 @@
-version = "1.1"
+version = "1.1.*"
 python2 = true
 requires = ["types-Jinja2", "types-Werkzeug", "types-click"]
 obsolete_since = "2.0"
diff --git a/stubs/Jinja2/METADATA.toml b/stubs/Jinja2/METADATA.toml
index 0edeb45a5f10..d9e916915f26 100644
--- a/stubs/Jinja2/METADATA.toml
+++ b/stubs/Jinja2/METADATA.toml
@@ -1,4 +1,4 @@
-version = "2.11"
+version = "2.11.*"
 python2 = true
 requires = ["types-MarkupSafe"]
 obsolete_since = "3.0"
diff --git a/stubs/Markdown/METADATA.toml b/stubs/Markdown/METADATA.toml
index ee7865e9a528..b713bbfd10a8 100644
--- a/stubs/Markdown/METADATA.toml
+++ b/stubs/Markdown/METADATA.toml
@@ -1 +1 @@
-version = "3.3"
+version = "3.3.*"
diff --git a/stubs/MarkupSafe/METADATA.toml b/stubs/MarkupSafe/METADATA.toml
index 2266533dffdd..416a5eb9e436 100644
--- a/stubs/MarkupSafe/METADATA.toml
+++ b/stubs/MarkupSafe/METADATA.toml
@@ -1,3 +1,3 @@
-version = "1.1"
+version = "1.1.*"
 python2 = true
 obsolete_since = "2.0"
diff --git a/stubs/Pillow/METADATA.toml b/stubs/Pillow/METADATA.toml
index cb3899bf24c0..da80f0078d57 100644
--- a/stubs/Pillow/METADATA.toml
+++ b/stubs/Pillow/METADATA.toml
@@ -1 +1 @@
-version = "8.3"
+version = "8.3.*"
diff --git a/stubs/PyMySQL/METADATA.toml b/stubs/PyMySQL/METADATA.toml
index f339dc7fdf26..e29f8e7f8ef1 100644
--- a/stubs/PyMySQL/METADATA.toml
+++ b/stubs/PyMySQL/METADATA.toml
@@ -1,2 +1,2 @@
-version = "1.0"
+version = "1.0.*"
 python2 = true
diff --git a/stubs/PyYAML/METADATA.toml b/stubs/PyYAML/METADATA.toml
index c5aa7383b514..ff1ee2fbb29c 100644
--- a/stubs/PyYAML/METADATA.toml
+++ b/stubs/PyYAML/METADATA.toml
@@ -1,2 +1,2 @@
-version = "5.4"
+version = "5.4.*"
 python2 = true
diff --git a/stubs/Pygments/METADATA.toml b/stubs/Pygments/METADATA.toml
index efa8f9f7ef0a..92f28ce99d9c 100644
--- a/stubs/Pygments/METADATA.toml
+++ b/stubs/Pygments/METADATA.toml
@@ -1,2 +1,2 @@
-version = "2.9"
+version = "2.9.*"
 requires = ["types-docutils"]
diff --git a/stubs/Send2Trash/METADATA.toml b/stubs/Send2Trash/METADATA.toml
index 71d785350136..690242a33e3e 100644
--- a/stubs/Send2Trash/METADATA.toml
+++ b/stubs/Send2Trash/METADATA.toml
@@ -1 +1 @@
-version = "1.8"
+version = "1.8.*"
diff --git a/stubs/Werkzeug/METADATA.toml b/stubs/Werkzeug/METADATA.toml
index 699e012cc811..848a139f0094 100644
--- a/stubs/Werkzeug/METADATA.toml
+++ b/stubs/Werkzeug/METADATA.toml
@@ -1,4 +1,4 @@
-version = "1.0"
+version = "1.0.*"
 python2 = true
 requires = []
 obsolete_since = "2.0"
diff --git a/stubs/annoy/METADATA.toml b/stubs/annoy/METADATA.toml
index d84fa99e4dbe..74b2b8d57c4f 100644
--- a/stubs/annoy/METADATA.toml
+++ b/stubs/annoy/METADATA.toml
@@ -1,2 +1,2 @@
-version = "1.17"
+version = "1.17.*"
 requires = []
diff --git a/stubs/appdirs/METADATA.toml b/stubs/appdirs/METADATA.toml
index 46f5153ea243..6d3b92238f58 100644
--- a/stubs/appdirs/METADATA.toml
+++ b/stubs/appdirs/METADATA.toml
@@ -1 +1 @@
-version = "1.4"
+version = "1.4.*"
diff --git a/stubs/atomicwrites/METADATA.toml b/stubs/atomicwrites/METADATA.toml
index fe057a0d9612..e20445253656 100644
--- a/stubs/atomicwrites/METADATA.toml
+++ b/stubs/atomicwrites/METADATA.toml
@@ -1,2 +1,2 @@
-version = "1.4"
+version = "1.4.*"
 python2 = true
diff --git a/stubs/aws-xray-sdk/METADATA.toml b/stubs/aws-xray-sdk/METADATA.toml
index 62802ab41fa8..fa0e835cbebd 100644
--- a/stubs/aws-xray-sdk/METADATA.toml
+++ b/stubs/aws-xray-sdk/METADATA.toml
@@ -1 +1 @@
-version = "2.8"
+version = "2.8.*"
diff --git a/stubs/babel/METADATA.toml b/stubs/babel/METADATA.toml
index d8484dc609d9..0009f38f042f 100644
--- a/stubs/babel/METADATA.toml
+++ b/stubs/babel/METADATA.toml
@@ -1 +1 @@
-version = "2.9"
\ No newline at end of file
+version = "2.9.*"
\ No newline at end of file
diff --git a/stubs/backports.ssl_match_hostname/METADATA.toml b/stubs/backports.ssl_match_hostname/METADATA.toml
index 9509ba1a7b30..839f7d3a9b8e 100644
--- a/stubs/backports.ssl_match_hostname/METADATA.toml
+++ b/stubs/backports.ssl_match_hostname/METADATA.toml
@@ -1,2 +1,2 @@
-version = "3.7"
+version = "3.7.*"
 python2 = true
diff --git a/stubs/backports_abc/METADATA.toml b/stubs/backports_abc/METADATA.toml
index 255b4494223b..22313195c363 100644
--- a/stubs/backports_abc/METADATA.toml
+++ b/stubs/backports_abc/METADATA.toml
@@ -1,2 +1,2 @@
-version = "0.5"
+version = "0.5.*"
 python2 = true
diff --git a/stubs/beautifulsoup4/METADATA.toml b/stubs/beautifulsoup4/METADATA.toml
index d09b6f960b39..39914d078bcf 100644
--- a/stubs/beautifulsoup4/METADATA.toml
+++ b/stubs/beautifulsoup4/METADATA.toml
@@ -1 +1 @@
-version = "4.10"
+version = "4.10.*"
diff --git a/stubs/bleach/METADATA.toml b/stubs/bleach/METADATA.toml
index 71ef530fa1a2..bb8cc449b44f 100644
--- a/stubs/bleach/METADATA.toml
+++ b/stubs/bleach/METADATA.toml
@@ -1 +1 @@
-version = "4.1"
+version = "4.1.*"
diff --git a/stubs/boto/METADATA.toml b/stubs/boto/METADATA.toml
index bc5011788db7..aff1a5fd3b7e 100644
--- a/stubs/boto/METADATA.toml
+++ b/stubs/boto/METADATA.toml
@@ -1,3 +1,3 @@
-version = "2.49"
+version = "2.49.*"
 python2 = true
 requires = ["types-six"]
diff --git a/stubs/braintree/METADATA.toml b/stubs/braintree/METADATA.toml
index 4ede6a0b859b..9c5a4bca25dc 100644
--- a/stubs/braintree/METADATA.toml
+++ b/stubs/braintree/METADATA.toml
@@ -1 +1 @@
-version = "4.11"
+version = "4.11.*"
diff --git a/stubs/cachetools/METADATA.toml b/stubs/cachetools/METADATA.toml
index de720977e07a..cb7498d03056 100644
--- a/stubs/cachetools/METADATA.toml
+++ b/stubs/cachetools/METADATA.toml
@@ -1 +1 @@
-version = "4.2"
+version = "4.2.*"
diff --git a/stubs/caldav/METADATA.toml b/stubs/caldav/METADATA.toml
index 50463eef97dd..a8d20041e01c 100644
--- a/stubs/caldav/METADATA.toml
+++ b/stubs/caldav/METADATA.toml
@@ -1,3 +1,3 @@
-version = "0.8"
+version = "0.8.*"
 # also types-lxml and types-icalendar when those stubs are added
 requires = ["types-requests", "types-vobject"]
diff --git a/stubs/certifi/METADATA.toml b/stubs/certifi/METADATA.toml
index 3f3b249a9d9c..a75d69563a04 100644
--- a/stubs/certifi/METADATA.toml
+++ b/stubs/certifi/METADATA.toml
@@ -1,2 +1,2 @@
-version = "2020.4"
+version = "2021.10.8"
 python2 = true
diff --git a/stubs/characteristic/METADATA.toml b/stubs/characteristic/METADATA.toml
index f14c99e0c7f6..199895dd573d 100644
--- a/stubs/characteristic/METADATA.toml
+++ b/stubs/characteristic/METADATA.toml
@@ -1,2 +1,2 @@
-version = "14.3"
+version = "14.3.*"
 python2 = true
diff --git a/stubs/chardet/METADATA.toml b/stubs/chardet/METADATA.toml
index f52bb86f70f7..5df22726ce72 100644
--- a/stubs/chardet/METADATA.toml
+++ b/stubs/chardet/METADATA.toml
@@ -1,3 +1,3 @@
-version = "4.0"
+version = "4.0.*"
 python2 = true
 requires = []
diff --git a/stubs/click-spinner/METADATA.toml b/stubs/click-spinner/METADATA.toml
index e43ccaae3fb9..f511d7da692f 100644
--- a/stubs/click-spinner/METADATA.toml
+++ b/stubs/click-spinner/METADATA.toml
@@ -1,3 +1,3 @@
-version = "0.1"
+version = "0.1.*"
 python2 = true
 requires = []
diff --git a/stubs/click/METADATA.toml b/stubs/click/METADATA.toml
index 7b088028d1c5..62965e38d0ad 100644
--- a/stubs/click/METADATA.toml
+++ b/stubs/click/METADATA.toml
@@ -1,3 +1,3 @@
-version = "7.1"
+version = "7.1.*"
 python2 = true
 obsolete_since = "8.0"
diff --git a/stubs/colorama/METADATA.toml b/stubs/colorama/METADATA.toml
index 337e55f69ea6..cea6c7b21c6f 100644
--- a/stubs/colorama/METADATA.toml
+++ b/stubs/colorama/METADATA.toml
@@ -1,2 +1,2 @@
-version = "0.4"
+version = "0.4.*"
 python2 = true
\ No newline at end of file
diff --git a/stubs/commonmark/METADATA.toml b/stubs/commonmark/METADATA.toml
index 16fd217d5d8e..51e869b47983 100644
--- a/stubs/commonmark/METADATA.toml
+++ b/stubs/commonmark/METADATA.toml
@@ -1 +1 @@
-version = "0.9"
+version = "0.9.*"
diff --git a/stubs/croniter/METADATA.toml b/stubs/croniter/METADATA.toml
index f339dc7fdf26..e29f8e7f8ef1 100644
--- a/stubs/croniter/METADATA.toml
+++ b/stubs/croniter/METADATA.toml
@@ -1,2 +1,2 @@
-version = "1.0"
+version = "1.0.*"
 python2 = true
diff --git a/stubs/cryptography/METADATA.toml b/stubs/cryptography/METADATA.toml
index a1932bbe5537..67fb5034d2cd 100644
--- a/stubs/cryptography/METADATA.toml
+++ b/stubs/cryptography/METADATA.toml
@@ -1,4 +1,4 @@
-version = "3.3"
+version = "3.3.*"
 python2 = true
 requires = ["types-enum34", "types-ipaddress"]
 obsolete_since = "3.4.4"
diff --git a/stubs/dateparser/METADATA.toml b/stubs/dateparser/METADATA.toml
index 346c93fc5729..f3e83f9c456b 100644
--- a/stubs/dateparser/METADATA.toml
+++ b/stubs/dateparser/METADATA.toml
@@ -1 +1 @@
-version = "1.0"
+version = "1.0.*"
diff --git a/stubs/docopt/METADATA.toml b/stubs/docopt/METADATA.toml
index c7567c225756..ce19e8f4b3b6 100644
--- a/stubs/docopt/METADATA.toml
+++ b/stubs/docopt/METADATA.toml
@@ -1,3 +1,3 @@
 # Prior to v0.6, docopt() had only 3 optional args
-version = "0.6"
+version = "0.6.*"
 python2 = true
\ No newline at end of file
diff --git a/stubs/docutils/METADATA.toml b/stubs/docutils/METADATA.toml
index b3849f7d0447..17d320a94b90 100644
--- a/stubs/docutils/METADATA.toml
+++ b/stubs/docutils/METADATA.toml
@@ -1 +1 @@
-version = "0.17"
+version = "0.17.*"
diff --git a/stubs/editdistance/METADATA.toml b/stubs/editdistance/METADATA.toml
index c0ca2875e6a9..1883b870198a 100644
--- a/stubs/editdistance/METADATA.toml
+++ b/stubs/editdistance/METADATA.toml
@@ -1 +1 @@
-version = "0.5"
+version = "0.5.*"
diff --git a/stubs/emoji/METADATA.toml b/stubs/emoji/METADATA.toml
index 55112056081f..56eef46c616f 100644
--- a/stubs/emoji/METADATA.toml
+++ b/stubs/emoji/METADATA.toml
@@ -1,2 +1,2 @@
-version = "1.2"
+version = "1.2.*"
 python2 = true
diff --git a/stubs/entrypoints/METADATA.toml b/stubs/entrypoints/METADATA.toml
index 378b109c3adc..7730a01469a9 100644
--- a/stubs/entrypoints/METADATA.toml
+++ b/stubs/entrypoints/METADATA.toml
@@ -1,2 +1,2 @@
-version = "0.3"
+version = "0.3.*"
 python2 = true
diff --git a/stubs/enum34/METADATA.toml b/stubs/enum34/METADATA.toml
index cf311fdb6550..c0a0050d4a68 100644
--- a/stubs/enum34/METADATA.toml
+++ b/stubs/enum34/METADATA.toml
@@ -1,2 +1,2 @@
-version = "1.1"
+version = "1.1.*"
 python2 = true
diff --git a/stubs/filelock/METADATA.toml b/stubs/filelock/METADATA.toml
index ffc5a1c5e98b..38c94680a9a8 100644
--- a/stubs/filelock/METADATA.toml
+++ b/stubs/filelock/METADATA.toml
@@ -1 +1 @@
-version = "3.2"
+version = "3.2.*"
diff --git a/stubs/first/METADATA.toml b/stubs/first/METADATA.toml
index 0f01cc4b1d64..72294377102c 100644
--- a/stubs/first/METADATA.toml
+++ b/stubs/first/METADATA.toml
@@ -1,2 +1,2 @@
-version = "2.0"
+version = "2.0.*"
 python2 = true
diff --git a/stubs/freezegun/METADATA.toml b/stubs/freezegun/METADATA.toml
index bad265e4fe3f..c9f594bd7bbd 100644
--- a/stubs/freezegun/METADATA.toml
+++ b/stubs/freezegun/METADATA.toml
@@ -1 +1 @@
-version = "1.1"
+version = "1.1.*"
diff --git a/stubs/futures/METADATA.toml b/stubs/futures/METADATA.toml
index 31383cdd68c0..103ece479fa8 100644
--- a/stubs/futures/METADATA.toml
+++ b/stubs/futures/METADATA.toml
@@ -1,2 +1,2 @@
-version = "3.3"
+version = "3.3.*"
 python2 = true
diff --git a/stubs/html5lib/METADATA.toml b/stubs/html5lib/METADATA.toml
index bad265e4fe3f..c9f594bd7bbd 100644
--- a/stubs/html5lib/METADATA.toml
+++ b/stubs/html5lib/METADATA.toml
@@ -1 +1 @@
-version = "1.1"
+version = "1.1.*"
diff --git a/stubs/httplib2/METADATA.toml b/stubs/httplib2/METADATA.toml
index 7918a438b96b..d2a449c6fb81 100644
--- a/stubs/httplib2/METADATA.toml
+++ b/stubs/httplib2/METADATA.toml
@@ -1 +1 @@
-version = "0.19"
+version = "0.19.*"
diff --git a/stubs/humanfriendly/METADATA.toml b/stubs/humanfriendly/METADATA.toml
index 27a0042d11dd..a6930073a3ac 100644
--- a/stubs/humanfriendly/METADATA.toml
+++ b/stubs/humanfriendly/METADATA.toml
@@ -1 +1 @@
-version = "9.2"
+version = "9.2.*"
diff --git a/stubs/ipaddress/METADATA.toml b/stubs/ipaddress/METADATA.toml
index f339dc7fdf26..e29f8e7f8ef1 100644
--- a/stubs/ipaddress/METADATA.toml
+++ b/stubs/ipaddress/METADATA.toml
@@ -1,2 +1,2 @@
-version = "1.0"
+version = "1.0.*"
 python2 = true
diff --git a/stubs/itsdangerous/METADATA.toml b/stubs/itsdangerous/METADATA.toml
index 2266533dffdd..416a5eb9e436 100644
--- a/stubs/itsdangerous/METADATA.toml
+++ b/stubs/itsdangerous/METADATA.toml
@@ -1,3 +1,3 @@
-version = "1.1"
+version = "1.1.*"
 python2 = true
 obsolete_since = "2.0"
diff --git a/stubs/jmespath/METADATA.toml b/stubs/jmespath/METADATA.toml
index 3d8655e7d6a3..5c7ed21e8ad5 100644
--- a/stubs/jmespath/METADATA.toml
+++ b/stubs/jmespath/METADATA.toml
@@ -1 +1 @@
-version = "0.10"
+version = "0.10.*"
diff --git a/stubs/jsonschema/METADATA.toml b/stubs/jsonschema/METADATA.toml
index ffc5a1c5e98b..38c94680a9a8 100644
--- a/stubs/jsonschema/METADATA.toml
+++ b/stubs/jsonschema/METADATA.toml
@@ -1 +1 @@
-version = "3.2"
+version = "3.2.*"
diff --git a/stubs/mock/METADATA.toml b/stubs/mock/METADATA.toml
index 3db9f3edf04c..3188e8fc281e 100644
--- a/stubs/mock/METADATA.toml
+++ b/stubs/mock/METADATA.toml
@@ -1 +1 @@
-version = "4.0"
+version = "4.0.*"
diff --git a/stubs/mypy-extensions/METADATA.toml b/stubs/mypy-extensions/METADATA.toml
index 8732c02c405f..79b51931ee0b 100644
--- a/stubs/mypy-extensions/METADATA.toml
+++ b/stubs/mypy-extensions/METADATA.toml
@@ -1,2 +1,2 @@
-version = "0.4"
+version = "0.4.*"
 python2 = true
diff --git a/stubs/mysqlclient/METADATA.toml b/stubs/mysqlclient/METADATA.toml
index be8be530e4fe..159b06b06fd2 100644
--- a/stubs/mysqlclient/METADATA.toml
+++ b/stubs/mysqlclient/METADATA.toml
@@ -1 +1 @@
-version = "2.0"
\ No newline at end of file
+version = "2.0.*"
\ No newline at end of file
diff --git a/stubs/oauthlib/METADATA.toml b/stubs/oauthlib/METADATA.toml
index f9586707dfed..84307529a94b 100644
--- a/stubs/oauthlib/METADATA.toml
+++ b/stubs/oauthlib/METADATA.toml
@@ -1 +1 @@
-version = "3.1"
+version = "3.1.*"
diff --git a/stubs/orjson/METADATA.toml b/stubs/orjson/METADATA.toml
index f67b2ab02c86..49ae8203c6e9 100644
--- a/stubs/orjson/METADATA.toml
+++ b/stubs/orjson/METADATA.toml
@@ -1,2 +1,2 @@
-version = "3.6"
+version = "3.6.*"
 obsolete_since = "3.6.1"
diff --git a/stubs/paramiko/METADATA.toml b/stubs/paramiko/METADATA.toml
index 5438db05e0c1..c209112e1ab6 100644
--- a/stubs/paramiko/METADATA.toml
+++ b/stubs/paramiko/METADATA.toml
@@ -1,3 +1,3 @@
-version = "2.7"
+version = "2.7.*"
 python2 = true
 requires = ["types-cryptography"]
diff --git a/stubs/polib/METADATA.toml b/stubs/polib/METADATA.toml
index cf311fdb6550..c0a0050d4a68 100644
--- a/stubs/polib/METADATA.toml
+++ b/stubs/polib/METADATA.toml
@@ -1,2 +1,2 @@
-version = "1.1"
+version = "1.1.*"
 python2 = true
diff --git a/stubs/prettytable/METADATA.toml b/stubs/prettytable/METADATA.toml
index 5647aa0233b2..acdc22b5d432 100644
--- a/stubs/prettytable/METADATA.toml
+++ b/stubs/prettytable/METADATA.toml
@@ -1 +1 @@
-version = "2.1"
+version = "2.1.*"
diff --git a/stubs/protobuf/METADATA.toml b/stubs/protobuf/METADATA.toml
index 01e9270d9891..5e0c83f83ca5 100644
--- a/stubs/protobuf/METADATA.toml
+++ b/stubs/protobuf/METADATA.toml
@@ -1,4 +1,4 @@
-version = "3.17"
+version = "3.17.*"
 python2 = true
 requires = ["types-futures"]
 extra_description = "Generated with aid from mypy-protobuf v2.8"
diff --git a/stubs/psutil/METADATA.toml b/stubs/psutil/METADATA.toml
index 0948fc580d0e..295659a1622c 100644
--- a/stubs/psutil/METADATA.toml
+++ b/stubs/psutil/METADATA.toml
@@ -1 +1 @@
-version = "5.8"
+version = "5.8.*"
diff --git a/stubs/psycopg2/METADATA.toml b/stubs/psycopg2/METADATA.toml
index d8484dc609d9..0009f38f042f 100644
--- a/stubs/psycopg2/METADATA.toml
+++ b/stubs/psycopg2/METADATA.toml
@@ -1 +1 @@
-version = "2.9"
\ No newline at end of file
+version = "2.9.*"
\ No newline at end of file
diff --git a/stubs/pyOpenSSL/METADATA.toml b/stubs/pyOpenSSL/METADATA.toml
index 098d93d36d4a..4999d7ffc39c 100644
--- a/stubs/pyOpenSSL/METADATA.toml
+++ b/stubs/pyOpenSSL/METADATA.toml
@@ -1,3 +1,3 @@
-version = "20.0"
+version = "20.0.*"
 python2 = true
 requires = ["types-cryptography"]
diff --git a/stubs/pyaudio/METADATA.toml b/stubs/pyaudio/METADATA.toml
index 0291bda1316a..6928f6e1901c 100644
--- a/stubs/pyaudio/METADATA.toml
+++ b/stubs/pyaudio/METADATA.toml
@@ -1,2 +1,2 @@
-version = "0.2"
+version = "0.2.*"
 python2 = true
diff --git a/stubs/pyfarmhash/METADATA.toml b/stubs/pyfarmhash/METADATA.toml
index 7c969026c3f0..a42da251bed5 100644
--- a/stubs/pyfarmhash/METADATA.toml
+++ b/stubs/pyfarmhash/METADATA.toml
@@ -1 +1 @@
-version = "0.2"
+version = "0.2.*"
diff --git a/stubs/pysftp/METADATA.toml b/stubs/pysftp/METADATA.toml
index c9b2e2d3b78b..e3748bd7b73d 100644
--- a/stubs/pysftp/METADATA.toml
+++ b/stubs/pysftp/METADATA.toml
@@ -1,3 +1,3 @@
-version = "0.2"
+version = "0.2.*"
 python2 = true
 requires = ["types-paramiko"]
diff --git a/stubs/pytest-lazy-fixture/METADATA.toml b/stubs/pytest-lazy-fixture/METADATA.toml
index 22cbe4eb9ca3..03031f1e9559 100644
--- a/stubs/pytest-lazy-fixture/METADATA.toml
+++ b/stubs/pytest-lazy-fixture/METADATA.toml
@@ -1 +1 @@
-version = "0.6"
+version = "0.6.*"
diff --git a/stubs/python-dateutil/METADATA.toml b/stubs/python-dateutil/METADATA.toml
index 1985499d63ae..c00bfdcaeadc 100644
--- a/stubs/python-dateutil/METADATA.toml
+++ b/stubs/python-dateutil/METADATA.toml
@@ -1,3 +1,3 @@
-version = "2.8"
+version = "2.8.*"
 python2 = true
 requires = []
diff --git a/stubs/python-gflags/METADATA.toml b/stubs/python-gflags/METADATA.toml
index 5bba18d25e4e..ac2fd418911a 100644
--- a/stubs/python-gflags/METADATA.toml
+++ b/stubs/python-gflags/METADATA.toml
@@ -1,2 +1,2 @@
-version = "3.1"
+version = "3.1.*"
 python2 = true
diff --git a/stubs/python-nmap/METADATA.toml b/stubs/python-nmap/METADATA.toml
index 9d5d312e6282..aed349a93a97 100644
--- a/stubs/python-nmap/METADATA.toml
+++ b/stubs/python-nmap/METADATA.toml
@@ -1,3 +1,3 @@
-version = "0.6"
+version = "0.6.*"
 python2 = true
 requires = []
diff --git a/stubs/python-slugify/METADATA.toml b/stubs/python-slugify/METADATA.toml
index 210c7605b3c2..c98db63045e7 100644
--- a/stubs/python-slugify/METADATA.toml
+++ b/stubs/python-slugify/METADATA.toml
@@ -1 +1 @@
-version = "5.0"
+version = "5.0.*"
diff --git a/stubs/pytz/METADATA.toml b/stubs/pytz/METADATA.toml
index a9c4347ec2a4..0bdf109638a1 100644
--- a/stubs/pytz/METADATA.toml
+++ b/stubs/pytz/METADATA.toml
@@ -1,2 +1,2 @@
-version = "2021.1"
+version = "2021.3"
 python2 = true
diff --git a/stubs/pyvmomi/METADATA.toml b/stubs/pyvmomi/METADATA.toml
index 9af5725bdeab..678b938f43f9 100644
--- a/stubs/pyvmomi/METADATA.toml
+++ b/stubs/pyvmomi/METADATA.toml
@@ -1,3 +1,3 @@
-version = "7.0"
+version = "7.0.*"
 python2 = true
 requires = ["types-enum34"]
diff --git a/stubs/redis/METADATA.toml b/stubs/redis/METADATA.toml
index ec34fb2231b3..f1af1bfd7fc4 100644
--- a/stubs/redis/METADATA.toml
+++ b/stubs/redis/METADATA.toml
@@ -1,3 +1,3 @@
-version = "3.5"
+version = "3.5.*"
 python2 = true
 requires = []
diff --git a/stubs/requests/METADATA.toml b/stubs/requests/METADATA.toml
index 77efa142fb42..928b054e9fe6 100644
--- a/stubs/requests/METADATA.toml
+++ b/stubs/requests/METADATA.toml
@@ -1,2 +1,2 @@
-version = "2.25"
+version = "2.25.*"
 python2 = true
diff --git a/stubs/retry/METADATA.toml b/stubs/retry/METADATA.toml
index ca732ba9cc52..6f2870bcfb82 100644
--- a/stubs/retry/METADATA.toml
+++ b/stubs/retry/METADATA.toml
@@ -1,2 +1,2 @@
-version = "0.9"
+version = "0.9.*"
 python2 = true
diff --git a/stubs/selenium/METADATA.toml b/stubs/selenium/METADATA.toml
index 115c7fe9a674..ed87da948251 100644
--- a/stubs/selenium/METADATA.toml
+++ b/stubs/selenium/METADATA.toml
@@ -1 +1 @@
-version = "3.141"
+version = "3.141.*"
diff --git a/stubs/setuptools/METADATA.toml b/stubs/setuptools/METADATA.toml
index b575da9647f9..ff6e4177e062 100644
--- a/stubs/setuptools/METADATA.toml
+++ b/stubs/setuptools/METADATA.toml
@@ -1 +1 @@
-version = "57.4"
+version = "57.4.*"
diff --git a/stubs/simplejson/METADATA.toml b/stubs/simplejson/METADATA.toml
index 7a888dfdf446..e8d5c242ddd3 100644
--- a/stubs/simplejson/METADATA.toml
+++ b/stubs/simplejson/METADATA.toml
@@ -1,2 +1,2 @@
-version = "3.17"
+version = "3.17.*"
 python2 = true
diff --git a/stubs/singledispatch/METADATA.toml b/stubs/singledispatch/METADATA.toml
index 9509ba1a7b30..839f7d3a9b8e 100644
--- a/stubs/singledispatch/METADATA.toml
+++ b/stubs/singledispatch/METADATA.toml
@@ -1,2 +1,2 @@
-version = "3.7"
+version = "3.7.*"
 python2 = true
diff --git a/stubs/six/METADATA.toml b/stubs/six/METADATA.toml
index ff19b61939c1..90e0456946aa 100644
--- a/stubs/six/METADATA.toml
+++ b/stubs/six/METADATA.toml
@@ -1,2 +1,2 @@
-version = "1.16"
+version = "1.16.*"
 python2 = true
diff --git a/stubs/slumber/METADATA.toml b/stubs/slumber/METADATA.toml
index 12c154c06af8..7431acfe0fa8 100644
--- a/stubs/slumber/METADATA.toml
+++ b/stubs/slumber/METADATA.toml
@@ -1 +1 @@
-version = "0.7"
+version = "0.7.*"
diff --git a/stubs/stripe/METADATA.toml b/stubs/stripe/METADATA.toml
index 62a74a90d64b..5d262932f608 100644
--- a/stubs/stripe/METADATA.toml
+++ b/stubs/stripe/METADATA.toml
@@ -1 +1 @@
-version = "2.59"
+version = "2.59.*"
diff --git a/stubs/tabulate/METADATA.toml b/stubs/tabulate/METADATA.toml
index 59d3db90a226..78fa4d13f8bb 100644
--- a/stubs/tabulate/METADATA.toml
+++ b/stubs/tabulate/METADATA.toml
@@ -1,2 +1,2 @@
-version = "0.8"
+version = "0.8.*"
 python2 = true
diff --git a/stubs/termcolor/METADATA.toml b/stubs/termcolor/METADATA.toml
index cf311fdb6550..c0a0050d4a68 100644
--- a/stubs/termcolor/METADATA.toml
+++ b/stubs/termcolor/METADATA.toml
@@ -1,2 +1,2 @@
-version = "1.1"
+version = "1.1.*"
 python2 = true
diff --git a/stubs/toml/METADATA.toml b/stubs/toml/METADATA.toml
index b4e82d6f7834..343f2c4782a6 100644
--- a/stubs/toml/METADATA.toml
+++ b/stubs/toml/METADATA.toml
@@ -1,2 +1,2 @@
-version = "0.10"
+version = "0.10.*"
 python2 = true
diff --git a/stubs/toposort/METADATA.toml b/stubs/toposort/METADATA.toml
index 83bb457dfdfe..6cf9fae44d92 100644
--- a/stubs/toposort/METADATA.toml
+++ b/stubs/toposort/METADATA.toml
@@ -1 +1 @@
-version = "1.6"
+version = "1.6.*"
diff --git a/stubs/ttkthemes/METADATA.toml b/stubs/ttkthemes/METADATA.toml
index ffc5a1c5e98b..38c94680a9a8 100644
--- a/stubs/ttkthemes/METADATA.toml
+++ b/stubs/ttkthemes/METADATA.toml
@@ -1 +1 @@
-version = "3.2"
+version = "3.2.*"
diff --git a/stubs/typed-ast/METADATA.toml b/stubs/typed-ast/METADATA.toml
index 46f5153ea243..6d3b92238f58 100644
--- a/stubs/typed-ast/METADATA.toml
+++ b/stubs/typed-ast/METADATA.toml
@@ -1 +1 @@
-version = "1.4"
+version = "1.4.*"
diff --git a/stubs/vobject/METADATA.toml b/stubs/vobject/METADATA.toml
index 16fd217d5d8e..51e869b47983 100644
--- a/stubs/vobject/METADATA.toml
+++ b/stubs/vobject/METADATA.toml
@@ -1 +1 @@
-version = "0.9"
+version = "0.9.*"
diff --git a/stubs/xxhash/METADATA.toml b/stubs/xxhash/METADATA.toml
index 0f01cc4b1d64..72294377102c 100644
--- a/stubs/xxhash/METADATA.toml
+++ b/stubs/xxhash/METADATA.toml
@@ -1,2 +1,2 @@
-version = "2.0"
+version = "2.0.*"
 python2 = true
diff --git a/tests/stubtest_third_party.py b/tests/stubtest_third_party.py
index fbd228a9b50a..d975cef24d6a 100755
--- a/tests/stubtest_third_party.py
+++ b/tests/stubtest_third_party.py
@@ -51,10 +51,8 @@ def run_stubtest(dist: Path) -> None:
         assert isinstance(dist_version, str)
         if dist_version == "0.1":
             dist_req = dist.name
-        elif dist_version.endswith(".*"):
-            dist_req = f"{dist.name}=={dist_version}"
         else:
-            dist_req = f"{dist.name}=={dist_version}.*"
+            dist_req = f"{dist.name}=={dist_version}"
 
         # If @tests/requirements-stubtest.txt exists, run "pip install" on it.
         req_path = dist / "@tests" / "requirements-stubtest.txt"