The 33-year-old Pole, ranked world No. 34 by the Women's Tennis Association (WTA), saw off Czech player Linda Fruhvirtová 7-5, 6-4 in the third round on Saturday.
Linette will now face home favourite Coco Gauff for a spot in the quarterfinals on Monday.
Meanwhile, Poland's world No. 2 Iga Świątek has reached the last 16, with a 7-6, 6-1 win over Belgium's Elise Mertens in the round of 32.
She will next play Ukrainian Elina Svitolina for a place in the last eight on Monday.
Poland's 27th-ranked 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 March 30.
(gs)
Source: IAR, PAP