In addition to his bicep injury, Long has also had issues with his back and knee this season. But he has only missed two career games, which will include this regular-season finale.
The Dolphins promoted running back Richard Medlin from the practice squad.
The 5-foot-11, 200-pound Medlin was originally signed by the New England Patriots as a rookie free agent on Aug. 3 and was released at the end of training camp on Sept. 3.
Medlin attended Fayetteville State where he played in 10 games and gained 772 yards on 144 carries as a senior in 2010. He was also named CIAA Special Teams Player of the Year in 2008 after returning two kickoffs for touchdowns.
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Dolphins' tackle placed on IR
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