The diagnosis, albeit not severe, has the 29-year-old wondering if he will see the outfield again this season.
"A little bit, you never know," Young said. "It's getting late. I tried to push it today and it didn't work. I have to see how it feels then test it again."
After the game, Young iced down the injury before resting it. He will undergo more tests on Wednesday even though he doesn't think anything new will surface.
"It's pretty much the same, it's the same area," he said. "It doesn't seem like I've done more damage, just aggravated what I already had."
Young, who pinch-hit three times while rehabbing the injury the first time, believes he will go back to that role while he works to get healthy again.
Insisting he was ready to test the quad in game action, the outfielder said he felt it grab as soon as he made the catch.
"I knew I had to go 100 percent, that's the only way you have to test it out," Young said. "You have to go full speed. I'm more disappointed than anything and frustrated."
Moving forward, D-backs manager Kirk Gibson said the club might recall an outfielder from Triple-A Reno, which concluded its season Tuesday, to fill Young's void.