Method and arrangement in a base station for scheduling radio resources to a user equipment. The method and arrangement comprises receiving a scheduling request from the user equipment, and also a time offset value which value is associated with the moment of time when a frame of data was generated in the user equipment buffer. Also, the moment of time when the frame of data was generated in the user equipment buffer is determined, based on the received time offset value. Thereby the buffer state of the user equipment buffer is predicted by using the determined moment of time when the frame of data was generated in the user equipment buffer. Further, radio resources are granted to the user equipment, based on the predicted buffer state of the user equipment buffer. In addition, a method and arrangement in a user equipment for assisting the base station in scheduling radio resources are described.