The paper is devoted to a research area focused on solving problems associated with outages and connection interruptions in modern IP networks. The goal is to design and implement such a mechanism that ensures the change of the original route through an exact order of routers in the alternate route. The restoration of the connection through an alternative pre-calculated path will thus take place faster than it was in the case of the original B-REP (Bit Repair Fast Reroute Mechanism) mechanism, as the influence of unwanted loops is eliminated. Fast recovery is crucial in today's IP networks because fast recovery minimizes service interruptions that occur during normal network convergence. Increasing the stability and recovery speed of modern IP networks has the potential to positively impact the provision of critical services that require reliable and continuous connectivity. Solutions like Label B-REP Fast Reroute (FRR) are therefore important for progress in this area and for improving the properties of future networks. The functionality of the proposed Label B-REP mechanism is verified through tests in the OMNeT++ simulation environment.