A method in a wireless terminal (110) for sending a measurement report to a serving base station (130) before handover is provided. The wireless terminal (110) and the base station (130) are comprised in a cell in a wireless communications system. The wireless terminal (110) is arranged to use a standard size message or a reduced size message for sending a measurement report before a handover. The wireless terminal (110) obtains (601) information about the cell size and/or the system load. When the cell size exceeds a predetermined value or when the system load exceeds a predetermined value, the wireless terminal (110) sends (605) a measurement report to the base station (130), using the reduced size message.