The Polish world No. 1 saw off the 33-year-old Russian player 6-4, 6-2 in the third round at Flushing Meadows on Sunday.
Świątek will now face 16th-ranked Russian Liudmila Samsonova for a place in the quarterfinals at the last Grand Slam tournament of the year.
Świątek, a former US Open champion, is aiming for her sixth Grand Slam singles title in New York.
The 2024 US Open runs until September 8.
(gs)
Source: Eurosport, PAP