diff --git a/Lib/test/support.py b/Lib/test/support.py
--- a/Lib/test/support.py
+++ b/Lib/test/support.py
@@ -951,6 +951,7 @@
     ]
     default_gai_errnos = [
         ('EAI_AGAIN', -3),
+        ('EAI_FAIL', -4),
         ('EAI_NONAME', -2),
         ('EAI_NODATA', -5),
         # Encountered when trying to resolve IPv6-only hostnames