BOSTON -- The Red Sox agreed on a one-year, non-guaranteed contract with right-handed reliever Tyler Thornburg for 2018 on Monday, avoiding salary arbitration. His salary will be $2.05 million, according to a source.Thornburg was acquired from the Brewers a year ago in hopes of being Boston's top setup man, but

BOSTON -- The Red Sox agreed on a one-year, non-guaranteed contract with right-handed reliever Tyler Thornburg for 2018 on Monday, avoiding salary arbitration. His salary will be $2.05 million, according to a source.

Thornburg was acquired from the Brewers a year ago in hopes of being Boston's top setup man, but he missed the entire 2017 season with a right shoulder impingement and underwent surgery to treat thoracic outlet syndrome in that same shoulder.

The 29-year-old was one of the best setup men in the National League in 2016, posting a 2.15 ERA and a 0.94 WHIP while striking out 90 batters over 67 innings.

If Thornburg can regain his health, he could get a chance to earn some high-leverage innings in the bullpen. Addison Reed , Boston's top setup man the final couple of months in 2017, is a free agent.

After the signing of Thornburg, the Red Sox have 12 remaining unsigned players who are eligible for salary arbitration: Infielder Brock Holt , shortstop Xander Bogaerts , catchers Sandy Leon and Christian Vazquez , outfielders Mookie Betts and Jackie Bradley Jr. , and pitchers Joe Kelly, Thomas Pomeranz , Eduardo Rodriguez , Carson Smith , Brandon Workman and Steven Wright .