diff --git a/docs/changelog/+uv-patch-version.bugfix.rst b/docs/changelog/+uv-patch-version.bugfix.rst
new file mode 100644
index 0000000..2fb54b7
--- /dev/null
+++ b/docs/changelog/+uv-patch-version.bugfix.rst
@@ -0,0 +1 @@
+Find uv-managed patch releases when a version specifier names only their major and minor version.
diff --git a/src/python_discovery/_discovery.py b/src/python_discovery/_discovery.py
index 5f82233..a85c51b 100644
--- a/src/python_discovery/_discovery.py
+++ b/src/python_discovery/_discovery.py
@@ -383,8 +383,24 @@ def _uv_version_matches(key: _UvKey, spec: PythonSpec) -> bool:
     # GraalPy keys carry the GraalVM version in older uv releases, so only CPython and PyPy state a Python version
     if key.implementation not in {"cpython", "pypy"}:
         return True
-    if spec.version_specifier is not None and not spec.version_specifier.contains(str(key.version)):
-        return False
+    if spec.version_specifier is not None:
+        for specifier in spec.version_specifier:
+            if specifier.version is None:
+                return False
+            # Match at the requested precision, as PythonInfo.satisfies does after probing.
+            numeric_version = specifier.version_str
+            for prefix in ("rc", "b", "a"):
+                if prefix in numeric_version:
+                    numeric_version = numeric_version.split(prefix)[0]
+                    break
+            precision = numeric_version.count(".") + 1
+            release = ".".join(str(part) for part in key.version.release[:precision])
+            if key.version.pre_type is not None and (
+                precision == 3 or specifier.version.pre_type is not None  # ruff:ignore[magic-value-comparison]
+            ):
+                release = f"{release}{key.version.pre_type}{key.version.pre_num}"
+            if not specifier.contains(release):
+                return False
     return all(req is None or our == req for our, req in zip(key.version.release, (spec.major, spec.minor, spec.micro)))
 
 
diff --git a/tests/test_discovery.py b/tests/test_discovery.py
index 0b69e59..964e58b 100644
--- a/tests/test_discovery.py
+++ b/tests/test_discovery.py
@@ -1,10 +1,10 @@
 from __future__ import annotations
 
-import copy
 import logging
 import os
 import stat
 import sys
+from copy import deepcopy
 from pathlib import Path
 from subprocess import check_call, check_output
 from typing import TYPE_CHECKING, Final
@@ -13,8 +13,8 @@
 
 import pytest
 
-from python_discovery import DiskCache, PythonInfo, get_interpreter
-from python_discovery._discovery import IS_WIN, LazyPathDump, get_paths
+from python_discovery import DiskCache, PythonInfo, PythonSpec, SimpleSpecifierSet, get_interpreter
+from python_discovery._discovery import IS_WIN, LazyPathDump, get_paths, propose_interpreters
 
 if TYPE_CHECKING:
     from collections.abc import Callable
@@ -174,7 +174,7 @@ def test_discovery_fallback_reuses_preferred_paths(
     executable = tmp_path / "preferred" / ("Scripts/python.exe" if IS_WIN else "bin/python")
     executable.parent.mkdir(parents=True)
     executable.touch()
-    preferred_info = copy.deepcopy(PythonInfo.current_system(session_cache))
+    preferred_info = deepcopy(PythonInfo.current_system(session_cache))
     preferred_info.executable = str(executable)
     mocker.patch.object(PythonInfo, "from_exe", return_value=preferred_info)
     paths = [str(executable)]
@@ -876,3 +876,51 @@ def test_discovery_uv_store_is_searched_after_path(
     monkeypatch.setenv("PATH", str(path_dir))
 
     assert uv_probed() == [str(path_executable), store_executable]
+
+
+@pytest.mark.parametrize(
+    ("spec", "install_version", "releaselevel", "expected"),
+    [
+        pytest.param("==3.99", "3.99.2", "final", True, id="minor-equality"),
+        pytest.param(">=3.99,<3.100", "3.99.2", "final", True, id="minor-range"),
+        pytest.param("==3.98", "3.99.2", "final", False, id="different-minor"),
+        pytest.param(">=3.99a1", "3.99a2", "alpha", True, id="alpha"),
+        pytest.param(">=3.99", "3.99a2", "alpha", True, id="alpha-minor-bound"),
+        pytest.param(">=3.99b1", "3.99b2", "beta", True, id="beta"),
+        pytest.param(">=3.99rc1", "3.99rc2", "candidate", True, id="candidate"),
+    ],
+)
+def test_discovery_uv_patch_release_matches_minor_spec(
+    tmp_path: Path, mocker: MockerFixture, spec: str, install_version: str, releaselevel: str, expected: bool
+) -> None:
+    store = tmp_path / "uv"
+    executable = store / f"cpython-{install_version}-linux-x86_64-gnu" / "bin" / "python"
+    executable.parent.mkdir(parents=True)
+    executable.touch()
+    info = deepcopy(PythonInfo.current_system())
+    info.executable = str(executable)
+    info.system_executable = str(executable)
+    info.version_info = info.version_info._replace(
+        major=3, minor=99, micro=2 if releaselevel == "final" else 0, releaselevel=releaselevel, serial=2
+    )
+    mocker.patch("python_discovery._discovery.PathPythonInfo.from_exe", return_value=info)
+
+    found = get_interpreter(spec, [], env={"PATH": "", "UV_PYTHON_INSTALL_DIR": str(store)})
+
+    assert (found is info) is expected
+
+
+def test_discovery_uv_invalid_hand_built_spec_skips_install(tmp_path: Path, mocker: MockerFixture) -> None:
+    store = tmp_path / "uv"
+    executable = store / "cpython-3.99.2-linux-x86_64-gnu" / "bin" / "python"
+    executable.parent.mkdir(parents=True)
+    executable.touch()
+    spec = PythonSpec.from_string_spec("==3.99")
+    spec.version_specifier = SimpleSpecifierSet.from_string("==invalid")
+    info = deepcopy(PythonInfo.current_system())
+    info.executable = str(executable)
+    mocker.patch("python_discovery._discovery.PathPythonInfo.from_exe", return_value=info)
+
+    candidates = list(propose_interpreters(spec, [], env={"PATH": "", "UV_PYTHON_INSTALL_DIR": str(store)}))
+
+    assert all(candidate is not info for candidate, _ in candidates)