Meet Special "K" The Homless Rapper
The Lions on Wednesday also agreed to deals with cornerback Chris Houston and former Seattle Seahawks defensive lineman Jason Jones.
The 29-year-old Bush proved that he can be an every-down tailback in Miami, rushing for 2,072 yards and 12 touchdowns in two seasons with the Dolphins.
In 2012, Bush played in every game for the first time since 2006 and fell just shy of his second consecutive 1,000-yard rushing season, finishing with 986.
In 91 career games, Bush has 4,162 yards rushing and 2,730 receiving and 48 touchdowns (29 rush, 15 receiving, 4 return).