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Criswell signed a one-year, $1 million contract with the Red Sox on Tuesday, Jeff Passan of ESPN.com reports.

Criswell was designated for assignment by the Rays and later non-tendered after recording a 5.73 ERA and 1.55 WHIP with 27 strikeouts across 33 innings last season. The 27-year-old righty will now join the Red Sox's pitching staff as a low-risk depth piece, and he'll likely fill in as a multi-inning relief option.

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