Cabrera was injured Monday in an exhibition game against Philadelphia when he was hit below the right eye when a hard-hit grounder took a bad hop. He was bleeding profusely as he was helped from the field. The cut needed eight stitches to be closed.
Tigers General Manager Dave Dombrowski said Tuesday Cabrera had a non-displaced fracture of the orbital bone below the right eye. Cabrera was ordered to rest for at least a week when he will be re-evaluated.
Detroit opens the regular season April 2 in Toronto.
Cabrera, a six-time All-Star, was the American League leading hitter last year, batting .344 as the Tigers' first baseman. He was moved to third base after Detroit acquired free agent first baseman Prince Fielder.