The Foxes have been playing hardball all summer, having hoped to stave off interest from top clubs.
Manchester City were providing neighbours United competition for Maguire’s signature but pulled out of the race.
Manchester United have since continued to pursue a deal for the 26-year-old, who Ole Gunnar Solskjaer sees as an ideal fit for his new-look backline.
The Red Devils have already spent £50m on right-back Aaron Wan-Bissaka, and Maguire will cost much more.
Leicester were understood to be demanding a fee as big as £100m from executive vice-chairman Ed Woodward a fortnight ago.
It’s thought Maguire has now had a say in proceedings to help push through a transfer.
The England defender has urged Leicester not to price him out of a switch to Old Trafford.
And Starsport understands the former Sheffield United and Hull man considers United his ‘dream move’.
“Reports of Maguire undergoing a medical in Manchester today are premature”
The Red Devils have since managed to talk Leicester down a bit in terms of the fee.
An agreement is expected with a transfer believed to be only a matter of time now.
However, reports of Maguire undergoing a medical in Manchester today are premature.
A fee of £80m was said to have been agreed and it is likely a deal will ultimately cost around that figure.
READ MORE: Harry Maguire’s Man Utd wages revealed as Leicester man closes on deal
United, though, do not have their man yet, with Woodward continuing to work behind the scenes on further signings.
The Red Devils chief has not travelled with Solskjaer and his United squad to Australia this week.
He instead opted to remain at home with United hoping to soon add to their two summer signings of £18m winger Daniel James and Wan-Bissaka.
Solskjaer still wants at least one midfielder, and a departure for either Inter Milan target Romelu Lukaku or Real Madrid target Paul Pogba would require a replacement.