A method (400) for use in a cellular system with at least one controlling node (110), eNodeB, which controls user terminals, UEs (130), in a cell (120). According to the method, a UE can be in one of at least two different states (410), an idle state, a DRX state, and an "on duration" state. A UE (130) can receive at least a first (420) and a second (425) type of traffic from its eNodeB (110). If (415) the first type of traffic is received by a UE during an on duration period, the UE assumes the idle (DRX) state at the end of the on duration period, and if (430) the second type of traffic is received by the UE during an on duration period, the UE prolongs the current on duration period by a certain amount of time.