A method for performing wireless communication by a first device, and a device supporting same are provided. The method may comprise the steps of: acquiring at least one SL discontinuous reception (DRX) configuration; monitoring a message for establishment of unicast, on the basis of a first service identifier (ID); receiving the message for establishment of unicast from a second device; and establishing a unicast connection with the second device on the basis of the message for establishment of unicast, wherein, on the basis of the first service ID being related to a transmission profile indicating compatibility of SL DRX support, the message for establishment of unicast is monitored on the basis of a first SL DRX configuration.