The present invention discloses methods for maintaining direct device-to-device communication when one device from devices that are in direct device-to-device communication performs a handover, and apparatuses for supporting same. A method for maintaining the direct device-to-device communication in the wireless access system, according to one embodiment of the present invention, comprises the steps of: a second device moving to a second base station of a target cell; and the second device receiving from a first device of serving cell resource allocation information on a newly allocated resource region for direct device-to-device communication, wherein the resource allocation information can be received through an existing device-to-device link (D2D link), which is formed for direct device-to-device communication between the second device and the first device.