diff --git a/Lib/test/test_imaplib.py b/Lib/test/test_imaplib.py
index 2834963..5e0eaea 100644
--- a/Lib/test/test_imaplib.py
+++ b/Lib/test/test_imaplib.py
@@ -18,6 +18,9 @@
     import ssl
 except ImportError:
     ssl = None
+    HAS_SNI = False
+else:
+    from ssl import HAS_SNI
 
 CERTFILE = None
 CAFILE = None
@@ -349,6 +352,7 @@
     imap_class = IMAP4_SSL
 
     @reap_threads
+    @unittest.skipUnless(HAS_SNI, 'No SNI support in ssl module')
     def test_ssl_verified(self):
         ssl_context = ssl.SSLContext(ssl.PROTOCOL_SSLv23)
         ssl_context.verify_mode = ssl.CERT_REQUIRED