Schwartz knows Tulloch, 26, from his days as the Tennessee Titans' defensive coordinator during the linebacker's first three seasons in the NFL. Tulloch led the Titans with 160 tackles last season, starting every game for the first time in his five-year career. He added a sack, six passes defensed and an interception.
Barnett was released by the Green Bay Packers on Friday, as expected. He played in just four games in 2010 before suffering a season-ending wrist injury.