Fourth seed Wawrinka, this year's French Open champion, will take on Belgium's David Goffin, seeded 16th, for a place in the quarterfinals.
In other matches, Bulgarian Grigor Dimitrov lost 6-3, 6-4, 6-4 to France's 21st seed Richard Gasquet.
Gasquet will square off against 20-year-old Nick Kyrgios for another place in the quarterfinals after the young Australian beat Canadian seventh seed Milos Raonic in four sets 5-7, 7-5, 7-6 (7-3), 6-3.
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