diff --git a/Lib/test/support.py b/Lib/test/support.py
--- a/Lib/test/support.py
+++ b/Lib/test/support.py
@@ -908,6 +908,11 @@ def transient_internet(resource_name, *,
         ('ENETUNREACH', 101),
         ('ETIMEDOUT', 110),
     ]
+    if sys.platform == 'win32':
+        default_errnos.extend((
+            ('WSAENOTCONN', 10057),
+            ('WSAECONNREFUSED', 10061),
+        ))
     default_gai_errnos = [
         ('EAI_NONAME', -2),
         ('EAI_NODATA', -5),