A method for managing, in a communication network, network traffic related to a mechanism for signaling the presence of a terminal in a plurality of presence-signaling areas. A mobility management entity receives, for each presence-signaling area of the plurality, an area identifier and a priority level for the area then stores, in a piece of subscriber context related to a subscriber of the terminal, the identifiers and priority levels received in association with an identifier of the terminal. When the load of the mobility management entity is higher than a predefined critical load threshold, the entity suspends the presence-signaling mechanism for the presence-signaling areas, referred to as non-monitored areas, of the plurality in which the priority level is lower than a transitional priority level.