Smith (knee) will begin a rehab assignment with High-A Brevard County on Tuesday, Tom Haudricourt of the Milwaukee Journal Sentinel reports.
Smith hasn't encountered any setbacks while recovering from a torn LCL in his right knee, and he's been cleared for game action after throwing a batting practice session Saturday without issue. Sidelined since late March, he'll likely throw several times in the minors before rejoining the Brewers at some point in June. He was set to share closer duties with Jeremy Jeffress prior to his injury, but Jeffress has thrown the ball well as the primary closer, so Smith will likely open in a setup/situational role when he's back on the big league roster.