Even though you can go with websockets or a tcp-websockets bridge, Mozilla has a proposal for TCP Sockets API in JavaScript. Its being used in Firefox OS right now and is quite cool. More info at:

https://developer.mozilla.org/en-US/docs/WebAPI/TCP_Socket

In the future this could become a standard and everyone would benefit.

They won't, but changing your server to accept websocket instead shouldn't be too bad.

Don't even need to do that. There are a bunch of TCP-WebSocket bridges out there.