Davis, 33, hit .260/.312/.375 (88 OPS+) while going 45-for-51 in stolen base attempts in 108 games for the Blue Jays in 2013. Over the last three seasons with Toronto, he's hit .252/.299/.369 (81 OPS+) with 125 steals in 155 attempts.
Detroit is likely to platoon the right-handed hitting Davis with the left-handed hitting Andy Dirks in left field. Davis hit .319/.383/.474 (132 OPS+) against lefties in 2013 while Dirks is a career .278/.333/.418 (101 OPS+) hitter against righties. Rajai also gives the team a speed element they simply have not had in recent years.
The signing likely takes the Tigers out of the running for free agent Shin-Soo Choo, who is being chased by the Rangers, Diamondbacks and other teams at the moment.