diff --git a/Lib/smtplib.py b/Lib/smtplib.py
index a6224e0..0695840 100755
--- a/Lib/smtplib.py
+++ b/Lib/smtplib.py
@@ -228,7 +228,7 @@
         By default, smtplib.SMTP_PORT is used.  An SMTPConnectError is raised
         if the specified `host' doesn't respond correctly.  If specified,
 	`local_hostname` is used as the FQDN of the local host.  By default,
-	the local hostname is found using gethostbyname().
+	the local hostname is found using socket.getfqdn().
 
         """
         self.esmtp_features = {}