Hudson (oblique) will begin his rehab assignment with Triple-A Nashville on Sunday, Curt Hogg of the Milwaukee Journal Sentinel reports.
Hudson was placed on the 15-day injured list July 27 with a left oblique strain, though it appears the 27-year-old southpaw may only require a minimum stint on the IL. He has been an integral piece to the Brewers' bullpen this year with a 1.60 ERA, 0.75 WHIP and 54:13 K:BB across 50.2 innings while also recording 12 holds in 35 outings.