diff --git a/Lib/test/test_logging.py b/Lib/test/test_logging.py
index bb31e29ca76..1d061e4993c 100644
--- a/Lib/test/test_logging.py
+++ b/Lib/test/test_logging.py
@@ -5219,7 +5219,7 @@ class RotatingFileHandlerTest(BaseFileTest):
 
             def rotator(self, source, dest):
                 if os.path.exists(source):
-                    os.rename(source, dest + ".rotated")
+                    os.replace(source, dest + ".rotated")
 
         rh = HandlerWithNamerAndRotator(
             self.fn, encoding="utf-8", backupCount=2, maxBytes=1)
diff --git a/Misc/NEWS.d/next/Tests/2021-04-28-13-21-52.bpo-43961.gNchls.rst b/Misc/NEWS.d/next/Tests/2021-04-28-13-21-52.bpo-43961.gNchls.rst
new file mode 100644
index 00000000000..e56572f5170
--- /dev/null
+++ b/Misc/NEWS.d/next/Tests/2021-04-28-13-21-52.bpo-43961.gNchls.rst
@@ -0,0 +1,2 @@
+Fix test_logging.test_namer_rotator_inheritance() on Windows: use
+:func:`os.replace` rather than :func:`os.rename`. Patch by Victor Stinner.