diff --git a/Lib/test/test_ssl.py b/Lib/test/test_ssl.py
index 164b6c2..ba788e4 100644
--- a/Lib/test/test_ssl.py
+++ b/Lib/test/test_ssl.py
@@ -277,6 +277,24 @@
                             (('organizationName', 'Google Inc'),))}
         fail(cert, 'mail.google.com')
 
+        # No DNS entry in subjectAltName but a commonName
+        cert = {'notAfter': 'Dec 18 23:59:59 2099 GMT',
+                'subject': ((('countryName', 'US'),),
+                            (('stateOrProvinceName', 'California'),),
+                            (('localityName', 'Mountain View'),),
+                            (('commonName', 'mail.google.com'),)),
+                'subjectAltName': (('othername', 'blabla'), )}
+        ok(cert, 'mail.google.com')
+
+        # No DNS entry subjectAltName and no commonName
+        cert = {'notAfter': 'Dec 18 23:59:59 2099 GMT',
+                'subject': ((('countryName', 'US'),),
+                            (('stateOrProvinceName', 'California'),),
+                            (('localityName', 'Mountain View'),),
+                            (('organizationName', 'Google Inc'),)),
+                'subjectAltName': (('othername', 'blabla'),)}
+        fail(cert, 'google.com')
+
         # Empty cert / no cert
         self.assertRaises(ValueError, ssl.match_hostname, None, 'example.com')
         self.assertRaises(ValueError, ssl.match_hostname, {}, 'example.com')