Ole Gunnar Solskjaer is keen to sign the England centre-back as he looks to revamp his squad this summer.
Manchester United were dismal at the back last term and Solskjaer will be hoping Maguire adds quality to his defence.
But getting a deal done for the centre-back is proving tricky, with Leicester demanding a huge £80m fee for their prized asset.
Starsport understand United expect to wrap up a deal before the window closes on August 8.
And ESPN journalist Mark Ogden claims Maguire has told his Leicester team-mates he’s keen on making a switch.
He told the Sky Sports Transfer Talk podcast: “Leicester want at least £80m for him, potentially rising to £90m depending if and when they sell him, and United have initially offered £40m for him, so half of what Leicester value him at.
“I’ve been told United will go higher and believe they’ll get him because Maguire has been telling Leicester and his team-mates he wants to leave.
“But the window shuts on August 8, and I think that is going to run and run.”
“Maguire has been telling Leicester and his team-mates he wants to leave”
Brendan Rodgers issued an update on Maguire’s future this week.
“Harry’s a top quality player and no-one has come near the valuation to tempt the club to sell,” he said.
“The other club interested is a huge club, but he’s a really good guy.
“I’ve been in this position a number of times and it’s never easy but he’s taken part in everything and hasn’t showed anything other than sheer professionalism.
“You’ve seen that tonight with the 45 minutes he played.”
He added: “I think all the people and supporters involved with Leicester, you can tip your hat to him because he has been the ultimate professional.
“He’s never once not wanted to work or train, he’s never made an excuse. He has been absolutely brilliant.
“I’ve only worked with him for a short period of time but he’s a special player and as a person as well.
“He respects his position at Leicester, he knows what Leicester have given him over these last couple of years.
“He wants to give everything for the time he is here and my job is to make sure I support the player in order for him to be the very best he can be.
“We hope he’s here for the first game of the season and for the remainder of the season. If he’s not, then my job is to get him as fit as he can be.”