After claiming the first break of the match for 4-3, however, the top seed's variety of consistent, strong hitting came to the fore as he clinched a 98-minute victory.
Both the tennis stars who have been in excellent form of late will have the chance to topple Daniil Medvedev and grab the top spot to become world number one.
The Australian passed the stiff test against the Russian 7-6(11), 3-6, 6-3, 6-2, playing his aggressive game to triumph after two hours and 53 minutes.
The top seed was in command from the beginning of the match which lasted for two hours and 11 minutes. Medvedev started the match with a service break establishing his authority over the French player.