``I'm looking forward to it,'' the 1997 champion said after her 53-minute victory. ``Now the tournament begins.''
Hingis, yet to lose a set in four matches, powered past Huber 6-1 6-2, breaking the 25-year-old's serve seven times.
``I was playing well, I just kept the pressure on her all the time,'' Hingis said, adding that Huber's strong ground strokes provided good preparation for Tuesday's match against the older of the two Williams sisters.
Hingis says she will have to keep the pressure on fifth seed Venus who, at 1.85 metres and with a mean serve-and-volley game, will dominate the net more than Huber.
``Sometimes you just have to try to be quicker at the net than your opponent. That's probably the case against Venus because she's very tall, she's got a lot of reach,'' said the Swiss teenager.
Williams was also wary ahead of the quarter-final showdown.
``The key is that usually when you play her, she gets quite a few balls back, plays consistently. Usually you hit yourself out of the match and make quite a few mistakes,'' the tall 20-year-old said after her 6-4 6-4 win against Sabine Applemans.
``I think the main thing is also to think about what you're doing, not concentrate on what your opponent is doing. Once you start doing that, it's gone,'' Williams added.
Both Hingis and Williams had their share of problems towards the end of their fourth round matches.
Hingis lost two services games in the second set as Huber found the rhythm for her ferocious forehand.
Her concentration then waned in the final game where she squandered two matchpoints, before sealing her place in the last eight at the third attempt when Huber hit a forehand into the net.
Williams also let things slip when she let Applemans climb back up from 5-1 down in the second set.
``It really is annoying. But I can raise the level of my game. I just have to get my mind there,'' Williams said