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Swiatek will next face Sabalenka in the semifinals, while Gauff will lock horns with Pegula for a place in the final.
American Pegula booked a semifinal spot at the season-ending tournament with a 6-3, 6-2 victory over Sakkari.
All four players in the group can reach the semifinals.
The win completed a remarkable turnaround for Gauff, who was left distraught after a first round exit at Wimbledon in July.
Sabalenka will try to heap even more disappointment on US tennis fans in Saturday's final when she takes on Coco Gauff.
Karolina Muchova overwhelmed Sorana Cirstea and will meet American Coco Gauff in the semifinals.
Djokovic improved his record against American opposition at the US Open to a perfect 12-0.
The 2017 Roland Garros champion next faces American sixth seed Coco Gauff, who beat wildcard Caroline Wozniacki in three sets earlier in the day.
New York: World No. 1 Carlos Alcaraz aced his first real test at the US Open on Saturday powering past Britain's Daniel Evans while women's second seed Aryna Sabalenka schooled France's Clara Burel to move into the fourth round of the year's final Grand Slam. There were also lessons learned about
After straight set romps in her first two matches, Pegula received her first test in the form of gritty veteran Svitolina, a U.S. Open semi-finalist in 2019.