diff --git a/transport/handler_server.go b/transport/handler_server.go
index 30e21ac0..f23b2daf 100644
--- a/transport/handler_server.go
+++ b/transport/handler_server.go
@@ -393,5 +393,5 @@ func mapRecvMsgError(err error) error {
 			}
 		}
 	}
-	return ConnectionError{Desc: err.Error()}
+	return ConnectionErrorf(true, err, err.Error())
 }
diff --git a/transport/transport.go b/transport/transport.go
index d59e5113..b31769ab 100644
--- a/transport/transport.go
+++ b/transport/transport.go
@@ -522,7 +522,7 @@ func (e ConnectionError) Origin() error {
 
 var (
 	// ErrConnClosing indicates that the transport is closing.
-	ErrConnClosing = ConnectionError{Desc: "transport is closing", temp: true}
+	ErrConnClosing = ConnectionErrorf(true, nil, "transport is closing")
 	// ErrStreamDrain indicates that the stream is rejected by the server because
 	// the server stops accepting new RPCs.
 	ErrStreamDrain = StreamErrorf(codes.Unavailable, "the server stops accepting new RPCs")