West spent each of the first four seasons of his career with the Chiefs.
The Chiefs are expected to sign running back Charcandrick West to fill the roster spot vacated by Kareem Hunt, according to NFL Network's Ian Rapoport.
Last season, West appeared in 13 games for the Chiefs, gaining 72 yards and two touchdowns on 18 carries in addition to registering 150 receiving yards and two touchdowns on 27 catches.
Following Hunt's release, Kansas City also worked out veteran free-agent tailback C.J. Anderson.
Spencer Ware, Damien Williams and Darrell Williams are currently listed as the top tailbacks on Kansas City's depth chart. Ware rushed 14 times for 47 yards and one touchdown during his first start of the year in Sunday's win over the Raiders.