Rybakina is not only chasing a third Grand Slam title. If she beats Zheng to reach the semi-finals she will seize the number one ranking from Aryna Sabalenka — even if the Belarusian wins a third straight crown.
“Of course, I want it,” Rybakina said. “I don’t know anyone who wouldn’t wish this.”
But, she added: “I try to approach the same, fight to the end in my next match — let’s see what will happen.”
Fourth-seeded Coco Gauff reached the quarter-finals for the first time since she won the title in 2023, beating 18-year-old US compatriot Iva Jovic 6-1, 6-4.
Gauff next faces fifth-seeded French Open champion Mirra Andreeva, a 5-7, 6-4, 6-3 winner over Anastasia Potapova.
An injury to Potapova in the final game marred an entertaining contest. When Potapova crashed to the ground lunging for a ball Andreeva rushed to her side. The Russian-born Austrian received treatment on her knee before limping to the finish line.
Alexander Blockx’s dream debut continued with a gritty 6-3, 4-6, 7-5, 7-5 victory over Argentina’s Francisco Cerundolo, which made the 21-year-old the first Belgian man to reach the quarterfinals of the US Open.
Blockx, who started the year ranked outside the top 100, said he was “close to retiring” because of sharp pain in an injured rib in the first set.