Holt signed a one-year contract with the Brewers in the offseason. He is 3-for-30 this season with no home runs, one RBI and nine strikeouts in 16 games.
A 32-year-old left-handed batter, Holt spent seven seasons with the Boston Red Sox and was an All-Star in 2015.
Holt hit a career-high .297 last year with three homers and 31 RBIs in 295 plate appearances while playing every position except pitcher, catcher and center field.
He has a .269 career batting average and .708 OPS.
The Associated Press contributed to this report.