The reinstatement will become effective at 1 p.m. EDT on Monday.
Favre's agent, James "Bus" Cook, confirmed that Favre plans to fly to Green Bay on Sunday and report to the Packers on Monday.
"That's the plan," Cook said in an e-mail to The Associated Press on Sunday.
Favre could be on the field as early as Tuesday.
Favre retired in March but has been having second thoughts. Team officials have insisted they are moving on with Aaron Rodgers, though, causing tensions to rise between Favre and the team.
It is not clear whether Favre's reinstatement indicates that he has rejected a long-term, multimillion-dollar marketing agreement offered by the team. Reinstatement could force the Packers to increase their offer to Favre in hopes that he remains retired and avoids turning their training camp into a media circus this week.
Team officials publicly have ruled out releasing Favre, fearing he would immediately sign with division rival Minnesota. The Packers could still also trade him.
to the team, although he would not likely begin practicing with the Packers right away.
Coach Mike McCarthy has said the Packers have a plan in place should Favre report to camp. He first would have to pass a physical exam and a conditioning test, then would likely be limited to individual drills.
Goodell told the NFL Network on Saturday that he thinks the situation has lingered long enough.
"I think we have to force it," Goodell said. "I think it's come to the point where there need to be some decisions made on behalf of the Packers, on behalf of Brett, on behalf of all the fans."