An example method is provided and includes advertising information to network elements in a network environment. The information advertises a reachability characteristic of a first Internet protocol (IP) address associated with a first network element, and a second IP address associated with a second network element to which packets are to be sent instead of the first network element. The method also includes receiving the packets at the first network element, the packets being delivered from the second network element based on the information. In specific implementations, a preferred adjacency characteristic is identified in the information by a sub-TLV for routing the packets from the second network element to the first network element. If a failure occurs and a loop free alternate (LFA) protection mechanism is provisioned, the packets are sent via a label distribution protocol (LDP) label switched path (LSP) toward a designated interface of a network element.