A method is provided in one example and includes receiving a first packet and a second packet that propagate in a mesh network and evaluating hop count metrics associated with the first packet and the second packet (e.g., evaluate the number of hops traversed in the mesh network, hop characteristics, etc.). The first packet is sent to a first queue, the second packet is sent to a second queue. The first queue is associated with a first hop count detected in the first packet, and the second queue is associated with a second hop count detected in the second packet. A buffer overflow condition can be identified. The method further includes discarding the second packet based on the second hop count being less than the first hop count. Discarding of the second packet may be performed in response to any type of congestion parameter detected in the mesh network.