"I know I am supposed to be among the favorites, but every time I play a match I am in the state of mind of a challenger who is trying to win an additional match," said Wawrinka, who went out in the third round of Masters events at Indian Wells and Key Biscayne.
He did not face a single break point and broke the Canadian twice in the second set.
"I was really focused on my serve to be really aggressive from the first shot, to make him move, to make him work every ball," Wawrinka said. "I just feel strong from the baseline. I feel good physically. I know that on clay courts, if I play my best tennis, I can beat those guys."
Raonic missed chances when he led 3-0 and 5-3 in the tiebreaker.
Djokovic, the defending champion, was in action against Spaniard Guillermo Garcia-Lopez, while fourth-seeded Roger Federer was to play No. 9 Jo-Wilfried Tsonga.