Urban, who turns 29 in May, played in 13 games in 2019, including nine with the Bears. He signed with Chicago last October after being released by the Tennessee Titans.
Urban factored into the Bears' defensive line rotation, seeing snaps on 17 percent of the team's defensive snaps last season. He also played a role on special teams.
A six-year NFL veteran, Urban spent the first five seasons of his career with the Ravens.
The Bears haven't yet made the signing of Urban official.