Rijo is slashing .243/.309/.338 with zero home runs and one steal in 74 at-bats with Double-A Trenton.
Rijo and Tyler Austin were dealt from the Yankees to the Twins on Monday, Ken Rosenthal of The Athletic reports.
Rijo was acquired from the Brewers as the player to be named later in the May 25 trade that sent Erik Kratz to Milwaukee.
Rijo was promoted to Double-A Biloxi on Wednesday.
Rijo was traded to the Brewers on Thursday.
Rijo was demoted from Double-A Portland to High-A Salem, Alex Speier of the Boston Globe reports.