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"It's great, but victory No 101 would be better. I'm very honored...But I need to continue now."
Djokovic has not played anyone ranked higher than 73rd through the first four rounds. Zverev is last year's runner-up and advanced when Djokovic retired injured from their last meeting in the Australian Open semifinals in January.
"It's not finished for me here the tournament and I feel very good and good to make history here. I hope there will be another win here in two days."
Zverev moved into his seventh Roland Garros quarterfinal when Dutch opponent Tallon Griekspoor quit with an abdominal problem while trailing 6-4, 3-0.
The German is still hunting a first Grand Slam title. He lost the 2024 final to Carlos Alcaraz and then finished runner-up to Sinner in Melbourne.
"Novak Djokovic will never be a (dark) horse. For me, Carlos is the favorite," said Zverev. "Then I would say the next three in line are Jannik, myself, and Novak, right? I still believe that."
World No 1 Sinner fired a warning shot to his title rivals with a ruthless 6-1, 6-3, 6-4 victory over Russian 17th seed Rublev in the night session.
Sinner, who returned from a three-month doping ban last month at the Italian Open, will face the unseeded Alexander Bublik for a place in the last four.
Italy's Sinner is targeting a third consecutive Grand Slam title after lifting the US Open trophy last year and winning his second successive Australian Open in January.