A method and apparatus for operating at a cell not supporting an extended discontinuous reception (eDRX) in a wireless communication system is provided. A user equipment (UE) verifies whether or not a serving cell supports eDRX. If it is determined that the serving cell does not support eDRX, the UE may trigger a tracking area update (TAU). Further, the UE may applying normal DRX cycle at the serving cell and not performing eDRX for a paging reception.