diff --git a/Lib/test/test_ssl.py b/Lib/test/test_ssl.py
index 67bc01a..b11723c 100644
--- a/Lib/test/test_ssl.py
+++ b/Lib/test/test_ssl.py
@@ -391,6 +391,7 @@
         ctx.load_verify_locations(CERTFILE, CAPATH)
         ctx.load_verify_locations(CERTFILE, capath=BYTES_CAPATH)
 
+    @skip_if_broken_ubuntu_ssl
     def test_session_stats(self):
         for proto in PROTOCOLS:
             ctx = ssl.SSLContext(proto)