Indianapolis did not say what Morgan's injury was.
Meggett, the son of former NFL running back Dave Meggett, played at the University of Maryland and was on the Colts practice squad in December 2012 but has not played in an NFL game. The move comes one day after Indy announced running back Vick Ballard would miss the rest of the season with a torn left Achilles' tendon.
Morgan joined the Colts on Dec. 31 and has played in 18 career games. He was with Jacksonville from 2010 through early October 2012, and then played Tampa Bay until being cut Sept. 5, 2013.