Giambi will begin a rehab assignment Tuesday with Double-A Akron. Giambi hasn't really produced with his limited sample size this season, batting just .128/.212/.277 over 15 games with Cleveland. He isn't expected to be activated until after the rosters expand, which is just a week away at this point. It's unclear whether Giambi will receive playing time at designated hitter when he returns, as Zach Walters has started producing from the spot recently.