如果每个消息已经支持我的客户端和服务器放气压缩，是否需要通过JSON使用messagePack序列化？

Question

My client and server are communicating through WebSocket with the JSON serialized data and both are supporting per message deflate and I suppose the JSON data is already compressed. The server is written on go and using gorrilla's WebSocket package. My goal is to decrease more traffic so wondering if I change the JSON serialization to MessagePack and continue to use per-message deflate header would it help to decrease the traffic ?