Reports in the Sun newspaper stated that the Red Devils will pay £60m up front for the England international, with a further £20m included in add-ons.
The report went on to claim that Maguire will travel to Manchester to undergo a medical at some point today with a view to getting the deal wrapped up ASAP.
However the word from inside the Leicester camp suggests the Foxes will knock back such an offer and it will take Maguire demanding a move to change their stance.
It has also been claimed that Leicester have lined up Brighton defender Lewis Dunk as a replacement for Maguire, but as things stand, the England international is going nowhere.
United are currently in Western Australia on their pre-season tour, where Ole Gunnar Solskjaer's side opened with victory over Perth Glory on Saturday.