The two-time AL MVP and 11-time All-Star selection has been dealing with back, oblique and groin strains and picked up a hip flexor issue Thursday.
It was his first home run since May 20.
"The way it is going right now, I wasn't sure it was going to get out," Cabrera said. "I'm dealing with my back every day, but I still have to go out there and play hard."
The injury problems began at the World Baseball Classic, and he spent 10 days on the disabled list in late April. He is currently hitting .280 with six home runs and 31 RBIs.
Cabrera said he doesn't plan to take any more time off to heal.
"No, no, no," Cabrera said. "I played with a broken foot. If I'm able to go out there and do my job, I'm going to do it."
Rays manager Kevin Cash is all too aware of that.
"We all know what that man can do," Cash said after Cabrera's home run. "He can hit a homer at any time to any place in any ballpark."
It was the seventh career game-ending home run for Cabrera.
"That was huge for us, and big for him to get off the slide," Tigers manager Brad Ausmus said. "He's definitely a player who can raise his game under pressure."