diff --git a/Lib/test/test_ssl.py b/Lib/test/test_ssl.py
--- a/Lib/test/test_ssl.py
+++ b/Lib/test/test_ssl.py
@@ -80,7 +80,8 @@ def skip_if_broken_ubuntu_ssl(func):
                 ssl.SSLContext(ssl.PROTOCOL_SSLv2)
             except ssl.SSLError:
                 if (ssl.OPENSSL_VERSION_INFO == (0, 9, 8, 15, 15) and
-                    platform.linux_distribution() == ('debian', 'squeeze/sid', '')):
+                    platform.linux_distribution() in [('debian', 'squeeze/sid', ''),
+                                                      ('debian', 'wheezy/sid', '')]):
                     raise unittest.SkipTest("Patched Ubuntu OpenSSL breaks behaviour")
             return func(*args, **kwargs)
         return f