This paper presents a novel analytical model to compute communication latency of broadcast as the most fundamental collective communication operation. The novelty of the model lies in its ability to predict the broadcast communication latency in wormhole-routed architectures employing asynchronous multi-port routers scheme. The model is applied to the Quarc [17] NoC and its validity is verified by comparing the model predictions against the results obtained from a discrete-event simulator developed using OMNET++.