Fourth seed Kim Clijsters overcame a late wobble to beat Slovakian Daniela Hantuchova 6-1, 7-5 and set up a mouth-watering Australian Open quarter-final against Hingis.
Belgian Clijsters, playing her last Australian Open, saw off her 15th-seeded opponent in 79 minutes on Rod Laver Arena to reach the last eight at Melbourne Park for the fifth time.
"I played one looser game and that made her really step up," Clijsters told a news conference. "In the second set she was taking some more risks and was a bit more aggressive and it worked for her.
"I feel like I'm seeing the ball well and moving well but it's hard to say how close to my best I am."