A method and system for transferring buffered downlink data for a wireless communication device (WCD) from a source base station to a target base station as part of a handover of the WCD from the source to the target base station. The source base station may have downlink data for transmission to the WCD buffered during the handover. A determination may be made as to whether or not the target base station is a relay base station with a wireless backhaul. If the target base station is determined to be a relay base station with a wireless backhaul, then the source base station may refrain from transmitting at least one portion of the buffered data to the target base station.