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Navarro's victory moved her into a second Grand Slam quarter-final where she will play Spain's 26th seed Paula Badosa
Djokovic will end the year without a major for the first time since 2017.
Alcaraz beat Estonian qualifier Mark Lajal 7-6(3) 7-5 6-2 in the first round.
Jabeur was roared on by a Tunisian contingent on Court Philippe-Chatrier as Gauff dropped the opening set, but the American grew in confidence in the second and stamped her authority in the third to reach the semis for the second time.
Navarro, seeded 23rd, broke the hard-hitting Belarusian for a fourth time on match point to book a quarterfinal clash with ninth seed Maria Sakkari of Greece.
Sabelnka beat fourth seed Coco Gauff in a thriller on while Zheng got the better of Ukrainian qualifier Dayana Yastremska.
Gauff set up a semifinal clash with Sabalenka in a rematch of last year's US Open final.
The top remaining seed after Saturday's early exit for world No. 1 Iga Swiatek, Sabalenka's biggest enemy has often been her own emotions but she continued to keep them strictly under control to reach the last eight without dropping a set.
The second semifinal between Swiatek and top seed Sabalenka was cancelled for the night due to rain.
Swiatek will next face Sabalenka in the semifinals, while Gauff will lock horns with Pegula for a place in the final.
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