Green Bay has not won a game since Rodgers suffered a broken left collarbone in the early moments of what turned out to be a loss to the Chicago Bears on Nov. 4.
The Packers have a 5-6-1 record and trail division-leading Detroit by 1 1/2 games heading into a meeting with Atlanta on Sunday.
Rodgers has a career passer rating of 105.2, highest in the history of the league among quarterbacks who have thrown at least 1,500 passes.
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