Repko, in his seventh big league season and first with the Red Sox, will continue a minor league rehab assignment that started Monday in Greenville. He went 2 for 9 with two walks in a three-game series with Asheville.
The 31-year-old outfielder played four seasons with the Dodgers starting in 2005 after he was selected in the first-round of the 1999 draft. He played a career-high 129 games in his rookie year, batting .221 with eight homers, 15 doubles and 30 RBI.
Repko was signed as a free agent by the Twins in 2010 and played two seasons in Minnesota before being released.
The Red Sox signed Repko as a free agent before this season, and he played five games in April before landing on the disabled list with a left shoulder sprain.
The GreenJackets (29-35) and Drive (32-33) will play a doubleheader today starting at 5:05 p.m.