Is RTMP to AMF Websocket possible?

[Former Community Member]

Currently we support an application that communicates via RTMP channel messages.  We're working on re-writing one of the application's components to use HTML5 and Javascript websockets through LCDS 4.7.  While we can connect the websockets to the same endpoints, we aren't receiving the messages on those websocket channels.

Is there something I'm missing?  Is this not possible?  I can't find any information relating the two.  Would I simply need to add a websocket channel to the Flex channel set?