The invention concerns a method for managing the connection of a first terminal connected to a first access network accessing a communication network and capable of connecting to a second access network accessing said communication network, implemented by a management module of the communication network, said management module being capable of determining a list of access networks to which the first terminal is likely to connect. After receiving (E209) a piece of connectivity information relative to a second terminal, the management method comprises a step (E210) of updating the list of access networks according to the received connectivity information and a step (E211) of transmitting said updated list to the first terminal such that the first terminal connects (E212) to the second access network.