Bukauskas (neck) began a rehab assignment with Triple-A Nashville on Tuesday, Adam McCalvy of MLB.com reports.
Bukauskas has been on the injured list since May 20 with a cervical strain. It's unclear how long the team plans on keeping Bukauskas on assignment, but considering how beat up the Brewers' pitching staff already is, it could be a quick minor-league stint for the 26-year-old reliever.