Tonkin agreed to a one-year, $1 million contract with the Twins on Friday to avoid arbitration, Jon Heyman of the New York Post reports.

The Twins claimed Tonkin off waivers from the Yankees on Tuesday, Betsy Helfand of the St. Paul Pioneer Press reports.

The Yankees designated Tonkin for assignment Sunday.

The Yankees claimed Tonkin off waivers from the Mets on Thursday.

Tonkin was designated for assignment by the Mets on Monday.

The Mets claimed Tonkin off waivers from the Twins on Wednesday, Abbey Mastracco of the New York Daily News reports.

Tonkin was designated for assignment Saturday. He gave up two runs over two innings with five strikeouts but two hits and two walks in Friday's loss to Detroit.

Tonkin was acquired by the Twins from the Mets on Tuesday in exchange for cash considerations.

Tonkin was designated for assignment by the Mets on Friday, Anthony DiComo of MLB.com reports.

Tonkin (0-1) took the loss Monday as the Mets were downed 5-0 in 10 innings by the Tigers, getting charged with five unearned runs on only two hits in an inning of relief. He didn't walk or strike out a batter.