Barrett is batting .256 with nine homers and 29 R-B-Is but has had problems defensively. He's also been involved in two dugout exchanges with Cubs pitchers this month.
He and Carlos Zambrano got into a skirmish in the dugout June first and it carried over into the clubhouse where Barrett got a black eye and needed stitches in his lip.
Less than two weeks later, Barrett and pitcher Rich Hill had an exchange in the dugout during a game against the Seattle Mariners.
Barrett also was the central figure in a brawl with the White Sox last season when he punched A.J. Pierzynski in the jaw after he'd been run over at the plate.
Barrett will be eligible for free agency after this season.