Hudson is not on the Brewers' roster for the National League Wild Card Series against the Mets, Curt Hogg of the Milwaukee Journal Sentinel reports.
The Brewers optioned Hudson to Triple-A Nashville on Tuesday, Adam McCalvy of MLB.com reports.
The Brewers activated Hudson (oblique) from the 15-day injured list Monday.
Hudson (oblique) will begin his rehab assignment with Triple-A Nashville on Sunday, Curt Hogg of the Milwaukee Journal Sentinel reports.
The Brewers placed Hudson on the 15-day injured list Saturday, retroactive to July 24, with a left oblique strain.
Hudson threw two scoreless innings of relief and picked up his 11th hold of the season in Wednesday's victory over the Angels. He allowed a hit, struck out a batter and walked none.
Hudson (2-0) earned the win Wednesday over the Pirates, allowing one hit over 1.2 scoreless innings. He struck out one.
Hudson tossed three scoreless innings of relief and picked up his first hold of the season in Sunday's victory over the Mets. He allowed two hits and posted a 4:0 K:BB in the outing.
The Brewers informed Hudson on Monday that he'll be included on the Opening Day roster, Curt Hogg of the Milwaukee Journal Sentinel reports.
The Brewers acquired Hudson from the Dodgers on Wednesday in exchange for Justin Chambers and a player to be named later or cash considerations, Eric Stephen of SBNation.com reports.