A method is provided in one example embodiment and includes communicating content to a content receiver, where a first portion of the content has a first drop priority. The method also includes determining a buffer status for a buffer at the content receiver, and adjusting the first drop priority to a second drop priority for a second portion of the content based on the buffer status. In more particular embodiments, the second drop priority can be higher than the first drop priority of the first portion of the content if the buffer is full or above a threshold. Also, the second drop priority can be lower than the first drop priority of the first portion of the content if content in the buffer has not started to render.