Since retiring in 2013, Ferguson has acted as a club ambassador and director at Old Trafford, but it has been suggested that some at the club want him to have a larger role in light of Woodward's departure, says the Mirror.
Currently, Ferguson holds a minor role at Old Trafford, and other than being seen at games, he isn't in the spotlight too much.
He did, however, play a role in United's bid to sign Jude Bellingham last summer, giving the youngster and his family a private tour of the club's training facilities.
Ultimately, United lost out to Borussia Dortmund, but the act didn't go unnoticed, and it is logical to believe the 13-time Premier League champion still has significant pulling power.
And The Athletic claims some want Ferguson to increase his role at the club in light of Woodward's departure.