The Chargers need help at running back because Danny Woodhead was lost for the season after breaking his lower right leg Sunday and at inside linebacker because Manti Te'o fractured his right foot and will be out for several weeks.
Draughn has played for Kansas City, Baltimore, Indianapolis and Chicago. He signed a one-year contract with the Bears and played in Chicago's first two games before being waived Sept. 16.
Reddick played in all 16 games with New Orleans last year and saw limited action at linebacker.
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