The Pars' are in serious financial trouble, and were told on Friday that Her Majesty's Revenue and Customs is set to serve the club a winding-up order.
But Ferguson has offered to send his team up to Dunfermline to help raise money to keep the Scottish Division One club in business.
Former Dunfermline manager and director Jim Leishman said about Ferguson: "He is a very busy man but he is a true fan. We've to go and speak to him to see if he can come up with something."
Ferguson played for Dunfermline between 1964 and 1967, and the BBC report claims the fund-raising match idea came from a former-Pars teammate of the Manchester United manager.
Roy Barry, who played alongside Ferguson, was at Old Trafford recently, and the United boss suggested a friendly game at East End Park to help out his former club.
Goodwill gestures from Dunfermline rivals Raith Rovers and Cowdenbeath were also offered, and a statement on the Dunfermline website thanked the clubs for their support "in our hour of need."
The Scottish club are currently in takeover talks between interested parties and majority shareholder Gavin Masterton.
Ferguson enjoyed his best goalscoring record at East End Park, scoring 66 goals in 89 league matches for the Pars.
The forward-turned-United manager eventually moved on to Rangers in 1967 - and spent two years with the Scottish giants before switching to Falkirk and finally Ayr United.