The Polish world No. 5 defeated Greece's Maria Sakkari 4-6, 6-1, 6-1 in the third round of the women’s singles on Monday.
Świątek, who had a bye in the first round, will next face France's Diane Parry for a place in the quarterfinals.
The Cincinnati Open hard-court tournament is the final warm-up for many top players ahead of the US Open Grand Slam event.
Earlier this month, Świątek won the Canadian Open in Toronto, claiming her 26th career title.
(gs)
Source: IAR/PAP