diff --git a/client.go b/client.go
index 4bd98f625..e9f575408 100644
--- a/client.go
+++ b/client.go
@@ -248,7 +248,6 @@ func (c *client) establishSecureConnection() error {
 	go func() {
 		runErr = c.session.run() // returns as soon as the session is closed
 		close(errorChan)
-		c.logger.Infof("Connection %s closed.", c.srcConnID)
 		if runErr != handshake.ErrCloseSessionForRetry && runErr != errCloseSessionForNewVersion {
 			c.conn.Close()
 		}
diff --git a/session.go b/session.go
index 2450d6fa9..9cfa1f301 100644
--- a/session.go
+++ b/session.go
@@ -533,6 +533,7 @@ runLoop:
 		s.handshakeChan <- closeErr.err
 	}
 	s.handleCloseError(closeErr)
+	s.logger.Infof("Connection %s closed.", s.srcConnID)
 	return closeErr.err
 }
 
@@ -839,7 +840,7 @@ func (s *session) handleCloseError(closeErr closeError) error {
 	}
 	// Don't log 'normal' reasons
 	if quicErr.ErrorCode == qerr.PeerGoingAway || quicErr.ErrorCode == qerr.NetworkIdleTimeout {
-		s.logger.Infof("Closing connection %s", s.srcConnID)
+		s.logger.Infof("Closing connection %s.", s.srcConnID)
 	} else {
 		s.logger.Errorf("Closing session with error: %s", closeErr.err.Error())
 	}