 After being released by the Indians, Tatum signed with the Milwaukee Brewers in 1990, and made his MLB debut with them in 1992, appearing in five games.In November 1992, Tatum was drafted by the Colorado Rockies in the 1992 Major League Baseball expansion draft.More than half of the games he would play in MLB came with the Rockies in 1993, where he hit .204 with one home run and 12 runs batted in (RBI) in 92 games, used mostly as a pinch hitter.