It's a minor league pact, so the 38-year-old Damon will spend two weeks in the minors before being added to the 40-man roster in early May.
The only problem is that we don't know how much Damon will be playing.
He's played just 44 games in the outfield the past two seasons, but he's played 230 games at designated hitter.
Travis Hafner is entrenched at DH, while the outfield is currently comprised of Shelley Duncan, Michael Brantley and Shin-Soo Choo.
Manny Acta will have some shuffling to do, but it's likely that Damon will get his fair share of at-bats.
Here are my predictions for Damon's season.