Miller, 29, is 3-5 on the season with a 2.34 ERA and 69 strikeouts in 42.1 innings.
The Red Sox traded pitcher Felix Doubrant to the Chicago Cubs yesterday. Boston has reportedly discussed trading starter Jon Lester with several teams, including the Baltimore Orioles. Starter John Lackey is also reportedly being shopped by the Red Sox.
Miller started his career with the Tigers before he was traded to the Marlins as part of the deal that sent Miguel Cabrera to Detroit.
After winning the 2013 World Series, the Red Sox are 48-59 and in last place in the AL East.
More: MLB Trade Deadline Guide
- Paul Palladino