The seventh seeded Indo-Swiss pair needed only 48 minutes to thrash the Kiwi-Australian team 6-2 6-2 in the third round of the Grass Court Grand Slam tournament.
Paes and Hingis are the first team to seal a last-eight berth in the mixed doubles.
Paes and Hingis, who are multiple Grand Slam winners, did not face a single break point in the match and broke their rivals twice in each set.
They won 56 points to 34 of Sitak and Rodionova.
More From This Section
Rohan Bopanna and Florin Mergea have their task cut out as they will fight it out against top seeds Mike and Bon Bryan for a place in the semifinals.
In the junior championship, 15th seed Pranjala Yadlapalli will take on American Michaela Gordon in the girls singles second round.
Sumit Nagal, who lost in the boys singles first round, will pair with Vietnam's Nam Hoang Ly in the boys doubles opener against Alex De Minaur of Australia and Yosuke Watanuki of Japan.