Norris (back) was placed on the 15-day DL on Sunday, MLive.com's Chris Iott reports.
The Tigers shut Norris down late in spring training after he experienced a fracture of his left spine, and while manager Brad Ausmus initially downplayed the youngster's injury, an official return date hasn't been outlined. Once he starts throwing again and shows the back issues are behind him, Norris could push Shane Greene for the No. 5 starter gig.