The pair's energy, variety and precise returning was all on display once again as they clinched a 6-1, 6-0 victory against Christina McHale and Jelena Ostapenko in just 46 minutes.
McHale and Ostapenko's solid groundstrokes and aggressive net presence posed the top seeds some awkward questions. However, on each occasion Hingis and Mirza found an answer through their exceptional court coverage and teamwork.
After a quick first set, Hingis and Mirza kept energy levels high to retain the momentum and take the second set in even more dominant fashion.
Potential quarterfinal opponents Johanna Konta and Maria Sanchez, who are still playing catch-up after the opening week rain delays, progressed into the third round, winning 6-4, 6-1 against Anastasia Rodionova and Darija Jurak. They will continue their run on Tuesday against No.5 seeds Timea Babos and Yaroslava Shvedova.