Dillard signed a minor-league contract with the Rangers on Monday that includes an invitation to spring training.
Dillard had been with the Brewers since the team drafted him back in 2002, but hadn't thrown a pitch in the big leagues since 2012. His ERA at the Triple-A level has been over 5.00 in each of the last five seasons, reaching 7.36 last season, so it would be a surprise if the 35-year-old makes a major-league impact this season.