Djokovic ripped Nicolas Mahut 6-0, 6-1, 6-1, taking more than two-thirds of the points in the 74-minute match. He pounded out 31 winners against eight unforced errors and had breaks in eight of Mahut's 10 service games.
Djokovic hasn't lost more than three games in any of his nine sets through the first three rounds.
He will go against unseeded Australian Lleyton Hewitt, whose 4-6, 6-3, 7-6 (7-5), 6-3 upset of 23rd-seeded Milos Raonic completed third-round play.
Fourth-seeded Andy Murray, who has won nine sets since dropping his opening set of the tournament, defeated Michael Llodra 6-4, 6-2, 6-0 in his third-round match. He won 70 percent of the points serving.
He'll face Mikhail Kukushkin in the Round of 16. Kukushkin is coming off a 3-hour, 40-minute upset of 14th-seeded Gael Monfils. Kukushkin overcame 72 unforced errors (against 61 winners) for a 6-2, 5-7, 7-5, 1-6, 6-4 win Saturday.
Richard Gasquet, the No. 17-seed, knocked off ninth-seeded Janko Tipsarevic 6-3, 6-3, 6-1 and earned a fourth-round shot at another Top 10 player in fifth-seeded David Ferrer. Ferrer got by 27th-seeed Juan Ignacio Chela 7-5, 6-2, 6-1 in his third-round match.
The fourth fourth-round match in this half of the draw will have No. 6-seeded Jo-Wilfried Tsonga going against 24th-seeded Kei Nishikori. That pairing was set up by Tsonga's 6-2, 6-2, 6-2 win over Frederico Gil and Nishikori beating Julien Benneteau 4-6, 7-6 (7-3), 7-6 (7-4), 6-3.