A method and apparatus for establishing additional channels for a call between multi-task user terminals. A multi-task call (MTC) signaling module is used to receive requests for the addition or release of additional channels for a call. Through a signaling network, the module has access to the switches of a hybrid network for interconnecting edge switches connectable to MTC terminals. The MTC signaling module controls establishment or release of the connections between links of the paths through the hybrid network. Advantageously, an MTC terminal through its MTC signaling module can control the addition or release of channels through the hybrid network.