The Washington Redskins have made enough progress in talks with Doug Williams that an agreement to add their Super Bowl-winning quarterback to their front office is within reach, according to a person familiar with the deliberations.

It was not clear Tuesday night if Williams also was considering other job possibilities or if a prospective deal with the Redskins still could unravel. But the person with knowledge of the situation said a reunion between Williams and Redskins General Manager Bruce Allen, for whom Williams once worked in the Tampa Bay Buccaneers’ front office, remains a strong possibility.

“I think it’s a deal or pretty close to a deal,” the person said, speaking on the condition of anonymity because the team had made no public comment on the matter. “I’m actually surprised they haven’t announced it yet. I still think it’s a go. Everyone I’ve talked to, they think it’s very much in line to make it happen.”

The person said it was not clear if any consideration is being given until waiting until after the NFL draft to make the move, when many front office moves league-wide annually are made. In this case, though, Williams is not working for another team and it is not clear if he would replace a current member of the Redskins’ front office or simply be added to it in a newly created position.

Williams has not responded to requests for comment about his conversations with the Redskins.

He played for the Redskins between the 1986 and ’89 seasons and was named the most valuable player in their Super Bowl triumph over the Denver Broncos in January 1988. He spoke to the Redskins about a front office job three years ago before deciding to return to Grambling for his second stint as the school’s head coach. Williams was fired by Grambling in September.