Williams, 30, was placed on injured reserve after suffering a torn anterior cruciate ligament in his right knee during the fourth quarter of Atlanta's 21-14 win over Chicago Sunday night.
Smith said Williams would have to have a complete knee reconstruction.
Williams joined Atlanta prior to the start of the season after being waived by Jacksonville. He had an interception, a fumble return for a touchdown and 18 tackles in six games.
Copyright 2009 by United Press International.