A system for securing the access to a destination of a virtual private network (VPNA) connected to a nominal access router (PE3) includes at least one core router (P2) adapted to: detect a failure affecting communication with the nominal access router (PE3); and switch the traffic to a protector access router (PE6) in a back-up tunnel bypassing the nominal access router (PE3). The protector access router (PE6) is adapted: to replace, in an MPLS packet, a nominal VPN label specific to the nominal access router (PE3) by a back-up VPN label specific to a back-up access router (PE4) connected to that destination; and to redirect said packet to the back-up access router (PE4) in a tunnel bypassing the nominal access router (PE3).