diff --git a/Lib/test/test_site.py b/Lib/test/test_site.py
index 01008656bdd759..b95c108771d8cb 100644
--- a/Lib/test/test_site.py
+++ b/Lib/test/test_site.py
@@ -501,6 +501,8 @@ def test_license_exists_at_url(self):
         # string displayed by license in the absence of a LICENSE file.
         url = license._Printer__data.split()[1]
         req = urllib.request.Request(url, method='HEAD')
+        # Reset global urllib.request._opener
+        self.addCleanup(urllib.request.urlcleanup)
         try:
             with test.support.transient_internet(url):
                 with urllib.request.urlopen(req) as data:
diff --git a/Misc/NEWS.d/next/Tests/2020-10-05-09-37-43.bpo-41939.P4OlbA.rst b/Misc/NEWS.d/next/Tests/2020-10-05-09-37-43.bpo-41939.P4OlbA.rst
new file mode 100644
index 00000000000000..e58ad2616da1ba
--- /dev/null
+++ b/Misc/NEWS.d/next/Tests/2020-10-05-09-37-43.bpo-41939.P4OlbA.rst
@@ -0,0 +1,3 @@
+Fix test_site.test_license_exists_at_url(): call
+``urllib.request.urlcleanup()`` to reset the global
+``urllib.request._opener``. Patch by Victor Stinner.