A method for managing communication on a network between a first device and a second device. The devices communicate via a first communication link, called a main link, and a second communication link, called a secondary link. The energy consumption of the secondary link is less than that of the first communication link. The method includes establishing validity of a criterion relative to data traffic on at least one of the main or secondary link, and on the basis of the validity of the criterion, managing activation of the at least one link.