Six-time champion Serena Williams is also set to miss out on the tournament.
American Sofia Kenin has withdrawn from the upcoming US Open after testing positive for Covid-19.
The former Australian Open winner and current world number five joins a long list of absentees from the New York tournament.
She tweeted: “Recently, I tested positive for Covid-19. Fortunately I am vaccinated and thus my symptoms have been fairly mild.
“However I have continued to test positive and thus will not be able to compete at the US Open next week.
“I plan to spend the next several weeks getting healthy and preparing to play well this fall.
“Thank you all for supporting me. I want to wish all the players the best of luck in New York.”
Six-time champion Serena Williams is set to miss out on the US Open with sister Venus also withdrawing, while on the men’s side Roger Federer, Rafael Nadal and reigning champion Dominic Thiem will not play.