diff --git a/src/python_discovery/_cache.py b/src/python_discovery/_cache.py
index b0eeb8c..30b8b2e 100644
--- a/src/python_discovery/_cache.py
+++ b/src/python_discovery/_cache.py
@@ -6,10 +6,10 @@
 import logging
 import os
 import stat
-import tempfile
 from contextlib import contextmanager, suppress
 from hashlib import sha256
 from pathlib import Path
+from tempfile import NamedTemporaryFile
 from typing import TYPE_CHECKING, Final, Protocol, runtime_checkable
 
 if TYPE_CHECKING:
@@ -115,7 +115,7 @@ def write(self, content: dict) -> None:
         self._folder.mkdir(parents=True, exist_ok=True)
         temporary: Path | None = None
         try:
-            with tempfile.NamedTemporaryFile(
+            with NamedTemporaryFile(
                 mode="w", encoding="utf-8", dir=self._folder, prefix=f".{self._key}.", delete=False
             ) as file:
                 temporary = Path(file.name)
diff --git a/src/python_discovery/_discovery.py b/src/python_discovery/_discovery.py
index 23338cc..21568f6 100644
--- a/src/python_discovery/_discovery.py
+++ b/src/python_discovery/_discovery.py
@@ -6,6 +6,7 @@
 from contextlib import suppress
 from dataclasses import dataclass
 from itertools import tee
+from os.path import basename
 from pathlib import Path
 from typing import TYPE_CHECKING, Final
 
@@ -514,7 +515,7 @@ def _resolve_shim(exe_path: str, env: Mapping[str, str]) -> str | None:
 
 def _resolve_shim_to_binary(exe_name: str, versions_dir: str, env: Mapping[str, str]) -> str | None:
     for version in _active_versions(env):
-        if version in {"", ".", ".."} or os.path.basename(version) != version:
+        if version in {"", ".", ".."} or basename(version) != version:
             _LOGGER.debug("ignoring invalid version name %r", version)
             continue
         resolved = os.path.join(versions_dir, version, "bin", exe_name)
diff --git a/tests/test_cache.py b/tests/test_cache.py
index 933d44f..6aea070 100644
--- a/tests/test_cache.py
+++ b/tests/test_cache.py
@@ -291,7 +291,7 @@ def test_disk_content_store_write_is_private_with_lax_umask(tmp_path: Path) -> N
 @pytest.mark.parametrize(
     "target",
     [
-        pytest.param("python_discovery._cache.tempfile.NamedTemporaryFile", id="create"),
+        pytest.param("python_discovery._cache.NamedTemporaryFile", id="create"),
         pytest.param("pathlib.Path.replace", id="replace"),
     ],
 )