Entering Sunday, Qualls had pitched in four straight games, all D-backs victories.
"Five days in a row is five days in a row," Hinch said with a sigh.
Qualls hasn't allowed a run in nine of his past 12 appearances and has converted eight of his last nine save chances, most recently shutting down the Jays in the D-backs' 8-5 victory Saturday night.
"He's pitching in the strike zone a lot better. He's been a little more aggressive," Hinch said of his closer's improvement. "These late-inning relievers, they can get on a roll. Often times, it takes one blown save or one bad outing to cause some insecurity and about three or four to get back. He's pretty good about having a short memory."