An example method for convergence of multi-destination traffic in a network environment is provided and includes receiving a first type-length-value (TLV) message from a true broadcast root in a Transparent Interconnection of Lots of Links (TRILL) network, where the first TLV message indicates a first subset of multi-destination trees in the TRILL network, receiving a second TLV message from the true broadcast root indicating a second subset of multi-destination trees in the TRILL network, such that a union of the first subset and the second subset indicates at least one inactive multi-destination tree in the TRILL network, and deleting the inactive tree from a hash table of active trees.