"That's his job," Gardenhire said. "He's been out about 10 days, maybe 11. He's been throwing out in the 'pen and feels great, his arm feels great.
"We'll put him right back in the mix. I'm sure he'd want it that way."
Greene returned to action on Friday night during the Tigers' 3-0 loss to Houston. The right-hander tossed a scoreless eighth inning, although he did allow two hits. He ranks seventh in the American League with 19 saves and ninth with an 86.4 save percentage.
Reliever Victor Alcantara was optioned to Triple-A Toledo to make room for Greene.
Richard Dean is a contributor to MLB.com based in Houston.