With her boyfriend, Northern Irish golfer Rory McIlroy, watching from the stands at Arthur Ashe Stadium, Wozniacki was forced to work overtime to beat Chinese qualifier Duan Yingying 6-2 7-5.
Wozniacki seemed to be in cruise control after she raced through the opening set in just 35 minutes but the Danish sixth seed soon found herself in trouble, trailing 5-2 in the second.
But she regained control and won the next five games to seal victory and avoid a repeat of her first-round exit from Flushing Meadows a year ago.
(Reporting by Julian Linden; Editing by Frank Pingue)
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