The Red Sox have agreed to a one-year deal with reliever Koji Uehara, according to a league source.
The 37-year-old righthander had a 1.75 ERA and a 0.639 WHIP in 37 games for Texas last season. He struck out 43 and walked three. The deal is pending a physical.
The Red Sox have coveted Uehara for years, and he projects as a late-inning option for them.
Rangers general manager Jon Daniels said Thursday he had tried to re-sign Uehara before he decided to accept Boston’s offer.
‘‘We would have liked to have him back,’’ Daniels said. ‘‘We made an offer early in the process.’’
Material from an Associated Press report was included.