Media streaming through a network address translation (NAT) device

A method and system for managing media streaming between clients on a client side of a network and stream servers on a stream server side of the network, wherein communications between the client side and the stream server side require a network address translation (NAT), involves allowing the same stream server side IP address to be shared amongst multiple stream servers so that the stream servers can simultaneously use the same IP address to source different media sessions. Because the stream servers can simultaneously use the same IP address to source different media sessions, a media session can be switched from one stream server to a different stream server without triggering STUN signaling or a change in the NAT mapping.