1. A method for managing mobility of a mobile terminal in a communications network comprising a plurality of access points and a server, the method being performed by the server and comprising: discovering a plurality of access points in the network; receiving a service quality class determined by an item of equipment for applying service quality, said service quality class being associated with a type of service being accessed by said mobile terminal during the current session while the mobile terminal is moving; and generating a list of access points by selecting at least one access point from said plurality of discovered access points, wherein said at least one selected access point is compatible with the service quality class determined by the item of equipment for applying service quality.