A method ensuring continuity of management of communications sessions operated from a fourth-generation mobile terminal communicating on an IP network including at least one radio network with a plurality of base stations with which said terminal is capable of communicating, said radio network connected via access gateways to an interconnection network with communications session management application servers, the sessions of a mobile terminal being managed by one of said servers, the method including: in the event of a movement of the mobile terminal resulting in a change of access gateway, the new gateway transmits an alert message to a new management server; the new management server transmits an interrogation request to the other servers in order to recover the call context of the mobile terminal; and the new server transmits an invitation to the mobile terminal accompanied by connection parameters, such that said terminal can connect to the new server.