Cunningham (neck) is visiting with the Bears on Tuesday, Jason La Canfora of CBS Sports reports.
The 2013 undrafted free agent was effective but unspectacular in his role as a passing-down back and kickoff returner during his four-year tenure in St. Louis. The Rams' recent signing of fellow pass-catching back Lance Dunbar suggests the team doesn't plan to retain Cunningham, who could slide right into a similar role if he joins Jordan Howard in the Chicago backfield. Cunningham did miss the final four games of last season with a neck injury, which could complicate a possible deal.