A service session supervision platform is disposed between an access network and an input node of a service-hosting network. During the provision of a service, at least one atomic section is first defined. Such atomic section consists of a determined sequence of events which are involved in message exchanges with a subscriber. The supervision platform detects and flags events forming the beginning or end of an atomic section in a service session in progress for a subscriber by means of the access network. A communication interrupt request from a subscriber is processed by ascertaining if an atomic section is in progress for this subscriber according to the atomic section beginnings and ends flagged by the supervision platform, in order to determine whether or not the communication must be interrupted immediately.