The Twins optioned Orze to Triple-A St. Paul on Saturday, Aaron Gleeman of AaronGleeman.com reports.
Orze will end up as the odd man out of Minnesota's bullpen to make room for Tommy Nance, who was acquired in a trade with Toronto on Friday. Orze has turned in a 5.66 ERA and 1.52 WHIP across 41.1 innings with the Twins, and he'll likely need to show signs of improvement in the minors before getting another invitation to the big club.