Liam Broady beat fellow Briton Jay Clarke in straight sets to reach the second round of US Open qualifying.
British number five Broady, 24, eased to a 6-3 6-1 victory against Clarke, who is two places higher than him in the national rankings.
Broady will next face Belarus’ Uladzimir Ignatik, needing two more wins to reach the main draw, which starts on Monday in New York.
Heather Watson also won in the first round of qualifying on Wednesday.
The 26-year-old British number three beat 14-year-old American Cori Gauff 6-4 6-1 in one hour 11 minutes to set up a tie against Japan’s Ayano Shimizu and join Naomi Broady, who upset Katie Boulter on Tuesday, in the second round.
Katie Swan fought back from a set down to beat Italy’s Deborah Chiesa 3-6 6-4 6-4 in two hours 24 minutes and will face Japan’s Nao Hibino next.
However, fellow Britons Harriet Dart and Gabriella Taylor lost their first-round matches in New York on Wednesday.
Dart was beaten 6-2 7-5 by 18-year-old Australian Jaimee Fourlis, while Taylor was soundly beaten 6-1 6-1 by American Madison Brengle.
Kyle Edmund, Andy Murray and Cameron Norrie are the British men already in the main draw, while Johanna Konta is the only Briton to have gained direct entry to the women’s singles.