Using WebSockets in a C# Web Application?

I know its possible to use WebSockets within C# using a console application running along side the web application but Im wondering if its possible to use the requests on the C# web application to create the WebSockets.

I've been looking through ASP.Net and Im starting to think it wont be possible unless I use straight up C# and create my own HTTP server and then use the same socket object to generate Web Sockets (similar to the way Node.js and Socket.IO work).

Any thoughts on ways to include WebSockets on a C# web application without having multiple servers / projects?