The 24-year-old Pole saw off the Dutch qualifier 6-1, 4-6, 6-4 in their second-round match at Flushing Meadows on Thursday.
Up next for the Polish player at the last Grand Slam tournament of the year is Russia's Anna Kalinskaya.
Świątek, a former US Open champion, is playing for her seventh Grand Slam singles title in New York.
The 2025 US Open runs until September 8.
(gs)
Source: Eurosport, PAP