Cilic did not have much that he could throw at the world No. 1, and Djokovic remains undefeated on the hard court surface in 2011. He also remained undefeated against Cilic, as the Serb improved to 6-0 head-to-head against the Croat.
Next up for Djokovic is the winner between Viktor Troicki and Gael Monfils, two players who are scheduled to take to Central Court in Montreal in the evening session on Thursday (not before 5:30pm ET).
Monfils is the favorite to win but Troicki is capable of upsetting the fifth seed.
Should Troicki advance, that would set up an all-Serb quarterfinal. However, it would not look to be a competitive match. Djokovic has lost to Troicki before but more significantly he has won nine straight matches against the Serbian No. 2.
Against Monfils, Djokovic is 6-0, so regardless of who he plays next he looks as though he has an excellent chance of making the semifinals.
The only other result that has been turned in on Thursday at time of writing saw Tomas Berdych defeat Ivo Karlovic.