The Polish world No. 2 defeated the 22nd-seeded Ukrainian 7-6, 6-3 in the round of 16.
Świątek will now face Alexandra Eala, a 19-year-old from the Philippines, for a place in the semifinals of the women’s singles competition at this year's Miami Open.
Poland’s 34th-ranked Magda Linette has also made it through to the last eight of the Miami Open, with a 6-4, 6-4 win over home favourite Coco Gauff.
She will next take on Italy's sixth-seeded Jasmine Paolini.
Meanwhile, Poland's world No. 27 Magdalena Fręch made an early exit from the Miami Open after losing 4-6, 4-6 to Romanian Elena-Gabriela Ruse in the second round.
The 2025 Miami Open runs until Sunday.
(gs)
Source: IAR, PAP