In a method of managing a request for remote access to a multimedia content, a corresponding datum stream is inserted at the instant or in a delayed manner with the set of the data streams being transmitted on a distribution network as a function of a capacity threshold of this network. Each data stream is of the variable-throughput type, with a data throughput profile corresponding, whose width corresponds to a time of transmission of the stream. The management of the request comprises a verification that the capacity of the network is not exceeded on the width of the profile, as a function of a given instant of insertion, of the throughput of the data stream or streams in progress on the said distribution network, obtained on the basis of the throughput profiles of these streams, and of the throughput profile of the requested stream.