The 24th-seeded Pole beat Montenegro’s Danka Kovinić in three sets, 6-1, 6-7, 7-6, in their second-round women's singles match at Flushing Meadows on Wednesday.
The win marked the biggest success yet for the 28-year-old Polish player in the Grand Slam tournament.
Linette will now face Estonia’s 14th seed Anett Kontaveit in the third round on Friday.
(mk/gs)