The 30-year-old Pole, ranked world No. 19 by the Women's Tennis Association (WTA), saw off Russian player Evgeniya Rodina 6-3, 6-4 in their second-round encounter on Thursday night.
Up next for Linette at the tournament in the United States is Belarusian Victoria Azarenka.
The 2023 Miami Open runs until April 2.
Poland's world No. 1 Iga Świątek, last year's Miami Open champion, has withdrawn from the tournament due to a rib injury.
(gs)
Source: IAR, PAP