In DiffServ-enabled mobile network systems, TCP sender may time out if packet loss occurs at handover event. Thus, TCP window size may be reduced temporarily due to packet loss. Under overloaded traffic situation in local IP-managed network, furthermore, the sending rate of TCP packets that a mobile host generates right after handover may not be enough to keep its contract service rate on SLA (service level agreement). Therefore, giving temporal priority to the packets in a handover flow can compensate for the reduction of packet sending rate after handover. In this paper, we propose a mobility-aware drop precedence scheme in order to alleviate the performance loss from temporal disconnection or the reduction of sending rate.