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Lee, who underwent an MRI on Tuesday, is suffering soreness and stiffness, sources told Werder.
But the Cowboys expect that after undergoing treatment to alleviate the symptoms, Lee will be able to play Sunday against the Green Bay Packers, according to sources.
Lee suffered the injury in the third quarter of Monday night’s 45-28 loss to the Chicago Bears. He missed the Cowboys’ previous two games due to a hamstring injury suffered on Nov. 10 against the New Orleans Saints.
Cowboys outside linebacker Bruce Carter, who injured his hamstring Monday, is expected to miss Sunday’s game against Green Bay after also undergoing an MRI on Tuesday, sources told Werder.
Lee has yet to play a full 16-game season since being drafted by Dallas in 2010.
The 27-year-old Lee missed two games as a rookie with a hamstring injury, one game in 2011 with a dislocated wrist and 10 games last year because of a toe injury that required surgery.
The Cowboys signed Lee to a six-year, $42 million extension in the offseason with a $10 million signing bonus. Some of the money in the future was tied to Lee’s playing time in 2013-14.
ESPN.com Cowboys reporter Todd Archer contributed to this report.