The fourth seed needed just one hour and 50 minutes to complete a 6-3 6-4 6-1 win over the American 19th seed who came into the tournament in arguably the greatest form of his life.
Fish was on the defensive for much of the match and could not find an answer to the powerful and accurate play of the Serbian.
Djokovic will now go on to face Gael Monfils of France who beat his compatriot Richard Gasquet a lot easier than many had predicted by winning in straight sets 6-4 7-5 7-5.
























