Sloane Stephens and Madison Keys are eager to renew the friendliest rivalry in tennis - and to do that both need to win one more match at the French Open.
She broke for a 3-1 lead in the second set and looked to be closing in on a straightforward victory.
"It's awesome. This was always kind of the one where it was the most hard for me, and it was always the toughest one to feel like I could play well here".
Not that this Grand Slam run is being greeted with the kind of hullabaloo that accompanied her journey to last year's U.S. Open final in which she lost to compatriot Sloane Stephens.
Dzumhur, seeded 26th, had a match point on Zverev's serve at 5-4 in the final set. The 28-year-old, seeded 19 in his first Grand Slam since Wimbledon last year after struggling with injury, saw off Simon 6-3, 6-1, 6-3. It's Djokovic's 12th trip to the final eight in Paris and his 40th career Grand Slam quarterfinal.
The 10th-seeded Stephens was a 6-2, 6-0 victor against No. 25 Anett Kontaveit of Estonia in 52 minutes, while No. 13 Keys beat No. 31 Mihaela Buzarnescu of Romania 6-1, 6-4 in 65 minutes.
But the 31st-seeded Buzarnescu, a Romanian with a PhD in sports science, continued the surge that has seen her rise almost 350 spots in the rankings over the past year.
Keys, whose only worry will be the match points she gave up at 5-2 in the second set, will now face either Czech 26th seed Barbora Strycova or unseeded Kazakh Yulia Putintseva in the last eight.
No. 20 Novak Djokovic defeats No. 30 Fernando Verdasco 6-3, 6-4, 6-2.
The German recorded 51 winners to reach his first round of 16 in Paris after nearly four hours of play on Court Philippe Chatrier.
Japan's Kei Nishikori advanced to the French Open's round of 16 on the strength of a straight-sets victory over France's Gilles Simon on Friday. With the tournament now reaching the business end, having three-times Grand Slam champion Lindsay Davenport in her corner helps, says Keys.
But Keys completed her 11th Roland Garros win with her fourth ace of the day.
The 13th-seeded American built a big lead then barely avoided getting pushed to a third set before beating the 21st-seed 6-1, 7-6 (9-7) in a matchup of powerful baseliners at Roland Garros.
Dimitrov is playing left-hander Fernando Verdasco on Court 1. Against Buzarnescu, serving a second time for the match, Keys screamed "Come on!" when she crushed a cross-court backhand victor to make it 40-15 and give herself another two chances for victory. Keys held steady, though, and was able to convert her second match point when Osaka double-faulted.
Caroline Wozniacki, the No. 2 seed, also reached the fourth round after breezing past French wild-card entry Pauline Parmentier 6-0, 6-3.