diff --git a/Lib/test/test_ssl.py b/Lib/test/test_ssl.py
index ade7ef529e8122..7154cc740351cd 100644
--- a/Lib/test/test_ssl.py
+++ b/Lib/test/test_ssl.py
@@ -2301,6 +2301,8 @@ def test_timeout_connect_ex(self):
             rc = s.connect_ex((REMOTE_HOST, 443))
             if rc == 0:
                 self.skipTest("REMOTE_HOST responded too quickly")
+            elif rc == errno.ENETUNREACH:
+                self.skipTest("Network unreachable.")
             self.assertIn(rc, (errno.EAGAIN, errno.EWOULDBLOCK))
 
     @unittest.skipUnless(socket_helper.IPV6_ENABLED, 'Needs IPv6')