Australian Open champion Wawrinka, the third seed who broke through for his first Grand Slam title in Melbourne in January, next faces 16th-seeded Spaniard Tommy Robredo.
Earlier on Friday second seed and five-time champion Roger Federer reached the US Open third round with a 6-4, 6-4, 6-4 win over big-serving Australian Sam Groth.
Federer took his night session record to 24-1 with the win that gave him a clash with Spain's Marcel Granollers on Sunday for a place in the last-16.
The game was interrupted by heavy rain in the first set with Grenollers leading 5-2.
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