diff --git a/Lib/test/test_ssl.py b/Lib/test/test_ssl.py
index 7c32c1b..feb6f50 100644
--- a/Lib/test/test_ssl.py
+++ b/Lib/test/test_ssl.py
@@ -113,6 +113,10 @@
         p2 = ssl.DER_cert_to_PEM_cert(d1)
         d2 = ssl.PEM_cert_to_DER_cert(p2)
         self.assertEqual(d1, d2)
+        if not p2.startswith(ssl.PEM_HEADER + '\n'):
+            self.fail("DER-to-PEM didn't include correct header:\n%r\n" % p2)
+        if not p2.endswith('\n' + ssl.PEM_FOOTER + '\n'):
+            self.fail("DER-to-PEM didn't include correct footer:\n%r\n" % p2)
 
     def test_openssl_version(self):
         n = ssl.OPENSSL_VERSION_NUMBER