A method is provided in one example embodiment that includes identifying a foreground flow that has a higher priority than at least one background traffic flow in a network. The method also includes determining (e.g., periodically) a latency metric associated with the foreground flow, and activating a latency reduction response if the latency metric exceeds a threshold. In more particular embodiments, the latency reduction response may include diverting background flows in the network to a buffer for a delay period and/or delaying acknowledgements for background flows until the latency metric is below the threshold. In yet more particular embodiments, the latency metric may be a round-trip time.