He moves on into the second round to take on Uruguayan Pablo Cuevas, who defeated Lucas Pouille in straight sets.
But Djokovic will almost certainly have one eye on the second week of the tournament where he could end up facing Federer in the quarter-finals.
The No 8 seed got off to a strong start against Denis Istomin, but faces a tough second-round test against Marin Cilic.
Nadal meanwhile also won in straight sets against Alexei Popyrin, with the potential of meeting Djokovic in the semi-finals.
This post originally appeared on Daily Express :: Sport Feed