The Brewers optioned Reyes to Triple-A Nashville on Monday.
Reyes' demotion likely sets the stage for the Brewers to activate right-hander Brandon Woodruff (hand) from the 15-day injured list ahead of his scheduled start Tuesday at Tampa Bay. The 28-year-old utility man was up with Milwaukee for just one day and didn't appear off the bench in Sunday's win over the Blue Jays.