The 27-year-old Pole beat Australia’s Astra Sharma 6-3, 6-4 in their first-round women's singles match at Flushing Meadows on Tuesday.
Linette, 53rd in the world ranking, next takes on Japanese world No. 1 Naomi Osaka in the round of 64.
Poland’s Kamil Majchrzak and Iga Świątek have also advanced to the second round of the US Open.
Meanwhile, Polish players Hubert Hurkacz and Magdalena Fręch both crashed out in the first round of the Grand Slam tournament in New York.
(gs/pk)
Source: PAP