According to an NFL source close to Sims-Walker, the Bears are interested too and the sides are in contact.
A five-year veteran, Sims-Walker caught 122 passes for 1,647 yards and 14 touchdown in three seasons with the Jaguars. The 6-foot-2, 214-pound Sims-Walker missed the first two years of his career because of knee injuries.
The Jaguars drafted Sims-Walker in the third round in 2007, and the receiver showed tremendous promise as a rookie. But lingering knee issues from college sidelined him.
It's unknown whether Sims-Walker's contract expectations are a potential roadblock to striking a deal with Chicago.
In part because of his injury history, Sims-Walker seeks a one-year deal that would allow him a chance to produce a strong 2011 showing -- if he remains healthy -- before returning to the market to cash in, the source said.
Sims-Walker hasn't returned calls or text messages.
Michael C. Wright covers the Bears for ESPNChicago.com an ESPN 1000.