The present invention relates to methods and arrangements for controlling uplink transmit power to be used by the UE. The UE comprises multiple radio interfaces wherein at least one of the multiple interfaces is a cellular radio interface. The UE stores information comprising a total transmit power budget set aside for use over the multiple radio interfaces of the UE and receives transmit power control commands from a network node on the cellular radio interface indicating whether the UE should increase or decrease or maintain the uplink transmit power on the cellular radio interface. Transmit power levels to be used for uplink transmissions over the multiple radio interfaces based on the received transmit power control commands are calculated, wherein the said total transmit power budget for the multiple radio interfaces is taken into account.