The Blue Jays acquired Klein, left-hander Dasan Hill, infielder Dameury Pena and $250,000 in international bonus pool space from the Twins on Monday exchange for right-hander Jeff Hoffman on Monday, Mark Feinsand of MLB.com reports.
Klein appeared in three games for Minnesota this season, but spent most of his time with Triple-A St. Paul. At the Triple-A level, the 24-year-old has recorded a 5.91 ERA, 1.52 WHIP and 74:34 K:BB in 64 innings this season. The right-hander will report to Triple-A Buffalo to begin his time in the Toronto organization.