A system for extending wireless communication coverage includes a subnetwork comprising a set of interconnected nodes implementing a functionality of access point of one and the same wireless communication network. The system monitors messages exchanged during an address-resolution phase, and obtains therefrom an association between network address and MAC address of each device connected to the LAN and node of the subnetwork, and interface information representing an interface via which the message that made it possible to obtain said association was received. In order to identify a node closest to the target device, the system parses the address resolution tables while seeking the above-identified association corresponding to the target device and obtaining therefrom the associated interface information; and identifies the node closest to the target device as the node the address resolution table of which does not reference any node in the subnetwork in association with said interface information.