diff --git a/Lib/asyncio/selector_events.py b/Lib/asyncio/selector_events.py
index 63164f058bb..dee23064b7b 100644
--- a/Lib/asyncio/selector_events.py
+++ b/Lib/asyncio/selector_events.py
@@ -604,7 +604,7 @@ class _SelectorSslTransport(_SelectorTransport):
         # Verify hostname if requested.
         peercert = self._sock.getpeercert()
         if (self._server_hostname is not None and
-            self._sslcontext.verify_mode == ssl.CERT_REQUIRED):
+            self._sslcontext.verify_mode != ssl.CERT_NONE):
             try:
                 ssl.match_hostname(peercert, self._server_hostname)
             except Exception as exc: