A method for transmitting a packet, which is performed by a first wireless device in a wireless LAN system, according to the present invention comprises the steps of: receiving a wake-up packet; transmitting a first response request packet for a main radio module of a second wireless device and a second response request packet for a wake-up radio (WUR) module of the second wireless device; determining whether to change a WUR address field of the wake-up packet on the basis of a response message to the first response request packet or the second response request packet; and changing the WUR address field when it is determined that the WUR address field of the wake-up packet should be changed.