I doubt the server would need to implement
all of 1.1 to support WebSockets. Many proxies support a subset of 1.1 while reporting as a 1.0 server (Squid was one for years, and probably still is, even though it supports a wide variety of 1.1 capabilities). I talked about this in another thread:
http://news.ycombinator.com/item?id=2439406