This method is for managing flows between a first appliance and at least one second appliance, these appliances being designed to operate according to the so-called SIP protocol on a telecommunications network, wherein, the second appliance being preferably registered with the first appliance. The method comprises upon reception of a notifying message related to the loading state of said first appliance sent according to the SIP protocol, the implementing a procedure for spacing communications sent from the second appliance to said first appliance as a function of the loading state of the latter.