In the QFs, the Indian-Australian pair will be in action against either the Dutch-British top seeds Wesley Koolhof-Neal Skupski or American pair Nathaniel Lammons-Jackson Withrow.
Zverev overcame the former World No. 3 with 6-7(2), 7-6(8), 6-1, and 6-1. The German, who has advanced to the Round of 16 in each of his last four tournament appearances, will face sixth-seeded Jannik Sinner, who earlier in the day defeated 2016 US Open winner Stan Wawrinka in four sets.
Seeded sixth at the year’s fourth and final tennis Grand Slam, Rohan Bopanna and Matthew Ebden took a little over an hour to beat the unseeded pairing of Roman Safiullin of Russia and Andrey Golubev of Kazakhstan 6-3, 6-3 in the second round
Ukraine's Elina Svitolina progressed to the next round after defeating Russian player Anastasia Pavlyuchenkova 5-7, 6-4, 6-4 in the second round of the US Open.
In Winston-Salem last week, the Draper withdrew in the second round of his first tournament back on the Tour after missing three months due to a shoulder injury.