diff --git a/scrapy/core/downloader/tls.py b/scrapy/core/downloader/tls.py
index 9bf6a575b..5d2d68d82 100644
--- a/scrapy/core/downloader/tls.py
+++ b/scrapy/core/downloader/tls.py
@@ -50,7 +50,7 @@ try:
 
                 except ValueError as e:
                     logger.warning(
-                        'SSL/TLS verification failed for hostname "{}"; {}'.format(
+                        'Ignoring remote certificate verification failure for hostname "{}"; {}'.format(
                             self._hostnameASCII, e))
 
 except ImportError: