A base station including a wireless transceiver and a controller is provided. The wireless transceiver performs wireless transmission and reception to and from a mobile communication device operating in a connected mode extended Discontinuous Reception (eDRX). The controller determines whether a moving speed of the mobile communication device exceeds a threshold value, transmits measurement information and radio resource configurations of one or more neighboring cells to the mobile communication device via the wireless transceiver when the moving speed exceeds the threshold value, and activates radio resources of the neighboring cells for an upcoming eDRX-ON duration of the mobile communication device.