Gimenez was recalled from Triple-A Rochester.
Gimenez was traded from the Cubs to the Twins on Thursday in exchange for Bobby Wilson (ankle) and a player to be named later or cash, Mike Berardino of the St. Paul Pioneer Press reports.
Gimenez cleared waivers and was outrighted to Triple-A Iowa, Jesse Rogers of ESPN.com reports.
Gimenez was designated for assignment Wednesday, Sahadev Sharma of The Athletic Chicago reports.
Gimenez is starting at catcher and batting eighth in Sunday's game against the Pirates.
Gimenez, who is batting .318 through 22 Cactus League at-bats, hit his first spring training home run in Sunday's loss to the Athletics.
Gimenez agreed to a minor-league contract with the Cubs on Monday, Chris Cotillo of SB Nation reports.
Gimenez is expected to start Tuesday's game against the Yankees, Mike Berardino of the St. Paul Pioneer Press reports.
Gimenez is not in the lineup against the Blue Jays on Saturday, Mike Berardino of the Pioneer Press reports.
Gimenez is slashing .196/.323/.366 with five home runs and 11 home runs in 112 at-bats during his first season in Minnesota.