A number of newspapers claim the 71-year-old is ready to stand down following 26-and-a-half successful years at Old Trafford.
Sky Sports contacted United but have not received any comment to confirm or deny the reports.
In his programme notes ahead of last Sunday's Premier League defeat to Chelsea, Ferguson wrote that he did not have any plans to walk away from the club and predicted another decade of success.
He said: "This team of champions is not going away - we are here for the long ride.
"We will get better and if we apply ourselves in our normal fashion I see our 20th league title as nothing but the start of another decade of success.
"Whether I will be here to oversee another decade of success remains to be seen, but I certainly don't have any plans at the moment to walk away from what I believe will be something special and worth being around to see."
Last week, United confirmed Ferguson had been booked in for hip surgery in August following the club's pre-season tour of Asia and Australia, although it is not known how long he will expected to rest before the start of the season.
The Premier League champions are listed on the New York Stock Exchange and an announcement if any would be made there.
It opens for business at 2.30pm UK time on Wednesday.
Ferguson arrived at Carrington but there was no hint of anything different from the manager as he swept into the training complex, on the outskirts of Manchester, just before 7am.
The speculation comes as United's confirmed their Premier League trophy parade will begin at Old Trafford on Monday before reaching its conclusion in Albert Square later in the evening.
Ferguson and his players will attend a send-off event at Old Trafford at 1800, with the United manager due to address the crowd prior to departure.
Their open-topped bus is due to leave at 1830, with the event due to finish at 2000, after the squad have made their way into the city.
Club chief executive David Gill said: "Winning a 20th league title is a huge achievement for the club and we are excited to be able to share this special moment with our fans.
"The support from the fans has been incredible this season and we're looking forward to celebrating with them during the trophy parade."