diff --git a/clientconn.go b/clientconn.go
index 3fbfe297..db584ef3 100644
--- a/clientconn.go
+++ b/clientconn.go
@@ -1252,6 +1252,10 @@ func (ac *addrConn) createTransport(connectRetryNum, ridx int, backoffDeadline,
 		return true, nil
 	}
 	ac.mu.Lock()
+	if ac.state == connectivity.Shutdown {
+		ac.mu.Unlock()
+		return false, errConnClosing
+	}
 	ac.state = connectivity.TransientFailure
 	ac.cc.handleSubConnStateChange(ac.acbw, ac.state)
 	ac.cc.resolveNow(resolver.ResolveNowOption{})