Caroline Garcia's decision to withdraw would mean that Alison Riske-Amritraj, ranked 29 before the start of the US Open, is likely to be the top-seed in the singles.
Novak Djokovic, six-time Wimbledon champion, will next face Tim van Rijthoven of the Netherlands at Wimbledon 2022 for a place in the quarterfinals.
Barbora Krejcikova had lost her first-round singles game and was about to start her doubles campaign on Thursday.
Eugenie Bouchard of Canada will also be taking part in the WTA 250 tournament as a wild card entrant.
Coco Gauff defeated Elise Mertens 6-4, 6-0, while Leylah Fernandez registered 6-3, 4-6, 6-3 win over Amanda Anisimova.
Alize Cornet defeated Simona Halep 6-4, 3-6, 6-4 at the Australian Open 2022. She will next meet Danielle Collins.
Novak Djokovic took his Wimbledon winning streak to 25 matches after beating Tim van Rijthoven en route to the quarterfinals. He will next face Jannik Sinner.
