1. A switch, comprising: a latency management module including a processor configured to identify a probe packet from a remote switch identifying latency associated with one of at least two routes between the switch and the remote switch; a packet processor adapted to: remove the probe packet from a head of a first transmission queue of a first port of the switch, wherein the first port is an egress port associated with a destination device; in response to the removal of the probe packet, modify the probe packet by: updating a destination identifier of the probe packet with a source identifier of the probe packet; and in response to determining that the probe packet is on an outgoing portion of a round trip, updating a value in the probe packet to indicate that the probe packet is on a return portion of the round trip; and insert the modified probe packet to a head of a second transmission queue of a second port of the switch, wherein the second port is an egress port associated with the remote switch.