diff --git a/Lib/test/test_ssl.py b/Lib/test/test_ssl.py
index 8c219756e1f..5193c150375 100644
--- a/Lib/test/test_ssl.py
+++ b/Lib/test/test_ssl.py
@@ -109,6 +109,8 @@ def test_random(self):
         if v:
             data = ssl.RAND_bytes(16)
             self.assertEqual(len(data), 16)
+        else:
+            self.assertRaises(ssl.SSLError, ssl.RAND_bytes, 16)
 
         try:
             ssl.RAND_egd(1)