The procedure comprises using a pre-planned path restoration scheme for computing in advance, or pre-calculating, recovery paths for recovering failed working paths, and particularly comprises pre-calculating a set of recovery paths for each working path linking an origin node with a destination node, and simultaneously using the recovery paths of the set of recovery paths to try to communicate the origin node with the destination node, in case of one or more failures have been produced in the working path. The system is arranged for pre-calculating a set of recovery paths for each working path and simultaneously using them to recover a working path failure, and is apt for implementing the procedure.