Last year's runner-up will face the 2015 finalist - with both losing to Serena Williams - in a bid to reach the quarter-finals in 2017 in what will undoubtedly be one the most eagerly anticipated clashes in the last-16. Gulbis, now ranked at a lowly 589 after once reaching 10 in the world in 2014 when he defeated Roger Federer on his way to the French Open semi-finals, fired 37 unforced errors to Djokovic's meagre 12.
However, the 29-year-old showed her pedigree to hold and win the next two games, bringing the set back on serve.
The two-time Grand Slam champion was forced to serve out after Rogers battled to hold at 3-5 but, with the help of the drop shot she had found so effective in the final set, Kerber finally got through a classic encounter.
The German star was a break down in the second set but did just enough to claw her way into Monday's fourth round where she will face Garbine Muguruza.
"It was for sure a really important win for me, especially because it was a really up-and-down match". "And for the first time in my career to have back-to-back years where I have made the second week is exciting".
"I'm feeling pretty good".
Patton Oswalt engaged to marry actress Meredith Salenger
Salenger broke out in movies as a teenager in " The Journey of Natty Gann " (1985) and "Dream a Little Dream" (1989). Oswalt, 48, is a widower of one year, since the unexpected April 2016 death of his wife, Michelle McNamara .
That next opponent is the No. 1 player in the world - even if Kerber has been struggling at the major tournaments this season after winning the Australian Open and U.S. Open previous year.
American Sam Querrey, seeded No. 24, took only four minutes on court Saturday to beat Jo-Wilfried Tsonga France 6-2, 3-6, 7-6 (5), 1-6, 7-5.
"But I think it's a completely different match than the last three matches I had here".
But last year's Australian and US Open victor broke again to lead 4-3 and then held twice to book her place in the last 16. "On the last game I had a little bit of the house money since I was returning first and I kind of had a game to play with". I think I was serving as well better in the third set.
Vandeweghe, considered by some as a dark horse for the title, beat Alison Riske 6-2, 6-4. "The last time I played her here, I lost the match, so".
Rybarikova next meets Croatian qualifier Petra Martic, who marched on with a 7-6 (8-6) 6-1 defeat of Kazakh wildcard Zarina Diyas.