The Twins claimed Tonkin off waivers from the Yankees on Tuesday, Betsy Helfand of the St. Paul Pioneer Press reports.
Tonkin will begin his third stint with the Twins and second this season, after he made one appearance for Minnesota back in April before being booted from the 40-man roster. The right-hander had allowed eight runs over his final 7.2 innings with the Yankees but pitched well for them overall with a 3.37 ERA, 1.16 WHIP and 57:21 K:BB in 56 innings. He'll be used in middle relief by Minnesota.