Cleveland selected Wood off waivers from the Royals on Nov. 2. The 27-year-old had Tommy John surgery in late May and missed the entire 2012 season.
"He was a guy our hitters didn't like to face when he was healthy," said Indians general manager Chris Antonetti, who estimated that Wood could return by late May or early June. "So he's a guy we think is worth taking a chance on, and we're looking forward to getting him back healthy and giving him a chance to compete again."
A third-round Draft choice by Kansas City in 2006, Wood spent the '10 and '11 campaigns in the Royals' bullpen. He compiled a 5.07 ERA in 51 appearances during his rookie season, and he posted a 3.75 ERA with 62 strikeouts in 69 2/3 innings over 55 relief outings in '11.