Morrison signed a minor-league contract with the Reds on Friday.
Morrison rejected an outright assignment from the Brewers and elected free agency Friday.
Morrison was designated for assignment by the Brewers on Monday.
Morrison isn't in the lineup Monday against the White Sox.
Morrison's contract was officially selected by the Brewers on Tuesday.
Morrison has made the Brewers' Opening Day roster, Robert Murray of TheScore.com reports.
Morrison will elect free agency if he does not earn a spot on the Brewers' Opening Day roster, Adam McCalvy of MLB.com reports.
Morrison went 1-for-3 with a three-run home run in Saturday's spring game against the Cubs.
Morrison signed a minor-league contract with the Brewers on Thursday, freelance baseball writer Robert Murray reports.
Morrison signed a minor-league contract with the Phillies on Saturday, Joel Sherman of the New York Post reports.