Dobnak was optioned to the Twins' alternate training site Wednesday, Brandon Warne of ZoneCoverage.com reports.
Dobnak struggled in Tuesday's start as he was charged with his fourth loss of the season, and he'll be removed from the active roster as a result. Jake Odorizzi (abdomen) was reinstated from the injured list to take his place in the rotation. Dobnak will remain with the taxi squad for the team's current road trip, so he'll be available in an emergency situation.