A system and method for minimizing latency for direct group communications, such as push-to-talk (PTT) calls, among a group of wireless telecommunication devices on a wireless telecommunication network. The wireless telecommunication device has a dormant state without an open dedicated traffic channel for communications therefrom and an active state in which the wireless devices opens a dedicated traffic channel for an outgoing communication from the wireless telecommunication device, to include a direct communication stream. Either the wireless telecommunication device or an intermittent communication server for group communication streams can buffer the initial communication data of a group communication stream while the sending and/or receiving wireless telecommunication device changes from a dormant state to an active state with an open dedicated traffic channel.