Leshoure was inactive in last week's season opener despite averaging 4.5 yards per carry this preseason. The former second-round draft pick currently is Detroit's third-string running back behind Reggie Bush and Joique Bell.
The Lions are a pass-oriented team, and although Leshoure can catch the ball out of the backfield, he would prefer to be on a team that runs the ball more often, according to the source.
Leshoure, who has accepted his role as a backup with the Lions, rushed for 798 yards and nine touchdowns as a rookie last season.
One possible destination for the 23-year-old Leshoure is the Indianapolis Colts, who lost Week 1 starter Vick Ballard to a season-ending knee injury. Colts owner Jim Irsay recently indicated on his Twitter account that Indianapolis will attempt to add a running back before the NFL's trade deadline.
We're all hurting for Vick BaL..Bradshaw,Brown and others must step up...Grig's gonna work hard to wheel n deal B4 trade deadline,let's roll
— Jim Irsay (@JimIrsay) September 13, 2013
Bush gained 191 yards from scrimmage and scored a touchdown in last week's victory over the Minnesota Vikings. Bell had five catches for 67 yards and also rushed for two touchdowns.