The top seed was broken in the very first game of the match, and for 30 minutes or so Nieminen looked like providing him with a real test, but the defending champion ran found his rhythm and proved as ruthless as ever.
Nieminen troubled Djokovic in the first set, but such was the Serb’s dominance in the end, the only break point he allowed was the one the Finn took in the opening minutes.
Djokovic took his time to get into the match but managed to cancel out the break and then took another chance to claim the opening set with a second break.
The pattern continued through the rest of the match, with Djokovic taking enough of the chances he was offered by Nieminen, his play proving particularly effective at the net.
Two breaks were enough to take the second set and he only needed one in the third set as he set up a third round clash with Bernard Tomic.
Tomic, seeded 27, came through a tough encounter with Frenchman Pierre-Hugues Herbert in straight sets, although the game was close and he only prevailed 7-6 6-4 7-6.