The two sides are reportedly expected to strike a deal, putting Williams in charge of the defense for incoming head coach Adam Gase.
Williams boasts a great deal of experience as a defensive coordinator. He was in that role for the Browns from 2017-18 until his promotion to interim head coach on Oct. 29 following the firing of Hue Jackson.
The 60-year-old went 5-3 after taking over for Jackson, but it wasn't enough to keep the job on a permanent basis. He wasn't retained by the Browns when Freddie Kitchens was named their new full-time head coach.