An important objective for third generation mobile communications systems is to provide IP services, and a very important part of these services will be the conversational voice. The conversational voice service includes three distinct information flows: session control, the voice media, and the media control messages. In a preferred embodiment, based on the specific characteristics for each information flow, each information flow is allocated its own bearer with a Quality of Service (QoS) tailored to its particular characteristics. In a second embodiment, the session control and media control messages are supported with a single bearer with a QoS that suits both types of control messages. Both embodiments provide an IP conversational voice service with increased radio resource efficiency and QoS.