Wawrinka recorded his fifth victory over Kohlschreiber in as many meetings in a performance that left him cautiously encouraged about his prospects of making it past the quarter-finals in the California desert for the first time.
“It was a really good match,” said Wawrinka, who owns three Grand Slam titles but has won just one of the tour’s coveted Masters titles.
“The first set was not easy, for sure, but in general I’m happy with my game. I was serving well. I think I’m moving better and better and it’s all positive so far.”
A break in each set was enough for Wawrinka, who didn’t face a break point himself as he advanced to a meeting with lucky loser Yoshihito Nishioka of Japan, who staged a remarkable rally to get past 13th-seeded Czech Tomas Berdych 1-6, 7-6 (7/5), 6-4.
The 21-year-old from Mie saved a match point against his own serve in the 10th game of the second set.
After Nishioka forced the decisive set by winning the tiebreaker, the two traded breaks to open the third before Nishioka broke for a 2-1.
Although Berdych saved one match point in the ninth game, Nishioka closed it out in the next with a love game to reach the fourth round of a Masters tournament for the first time.
“It’s going to be interesting. I’ve never practiced with him, so it’s going to be the first time we going to be against each other.”
Wawrinka is the highest-ranked player remaining in the top half of the draw after world number one Andy Murray’s shock loss to 129th-ranked qualifier Vasek Pospisil in the second round.
With superstars Novak Djokovic, Rafael Nadal and Roger Federer all jammed into the bottom quarter of the draw, Wawrinka’s path looks wide open.
But the Swiss said he didn’t think of it that way.
“It’s not like I have been in a lot of semi-finals, finals in Masters 1000,” he said. “So I need to focus on every match.”