Cabrera was diagnosed with a Grade 1 oblique strain, and he will miss two to three days.
"He had a similar injury a few years back where he did feel it stretching and putting his hands over his head or twisting," Tigers manager Brad Ausmus said. "That took five days. He doesn't feel this one on those same movements. So we are optimistic it will be only two or three days."
Alex Avila replaced Cabrera at first base and went 1-for-3 in Detroit's 5-4 win.
Cabrera is hitting .248 on the season with four home runs and 15 RBIs. He sat out nine games earlier this season with a right groin strain.