Jose Mourinho has already told the veteran midfielder there is a job within his coaching set up if chooses to go in that direction at the end of the season.
Carrick is getting back to full fitness after undergoing a recent medical procedure to help regulate his heartbeat and is confident he can still play a role on the field this season.
However, the 36-year-old has told people within his circle that he expects this to be his final season playing and the prospect of sticking around at Old Trafford is a big temptation for him.
United's bosses believe the former England man can help out extensively on the youth side of things, with academy boss Nicky Butt also on board with the idea.
Carrick is now ready to take up United's offer of bankrolling his footballing education, with one eye towards the future.
The Geordie arrived from Tottenham Hotspur for £17million back in 2004 and the Red Devils feel his intimate knowledge of the club can be put to good use at various playing levels.