Manchester United are keen to get the England international on board as part of Ole Gunnar Solskjaer’s revamp of the squad this summer.
He’s already forked out £50m on Aaron Wan-Bissaka and £15m on Swansea’s Dan James.
And more cash is set to be spent on a British player with Maguire wanted from Leicester.
Italian journalist Nicolo Schira claims a bid of €65m plus €24m (£58.5m + £21.5m) in add-ons has been tabled.
READ MORE: How Harry Maguire talked Leicester into accepting Man Utd move
Schira also suggests a contract worth €5.5m (£4.95m) annually awaits the player should Leicester accept.
Bonuses would then be added on top of that basic salary, which works out at around £95,000-a-week.
No deal appears imminent, although Starsport understands United are now likely to get their man with a transfer edging closer in the past week.
Solskjaer was quizzed over the club’s summer spending on their pre-season tour of Australia.
LINE-UP: Man Utd’s starting line-up with Harry Maguire in it as move edges close
“Harry Maguire is set to land close to £100,000-a-week at Man Utd”
He said: “We’re still in the market looking to do some business, as I’ve said before.
But we’re patient, we’re Man United, we don’t have to sell and don’t have to overpay either. You have to have the right players at the right price.
“And if you look at the squad we’ve got now, there are so many good players anyway.
“I’m sure with a good pre-season behind us – that’s the main thing now – the ones who are here are working hard want to improve.
“It’s not just about fitness work, it’s about robustness, this squad needs to be more robust when the season gets going.
READ MORE: Man City talk to Bruno Fernandes agent – but Man Utd remain favourites
“Last year, we had a run of I don’t know how many games without any defeats but the end was disappointing because we couldn’t get back to winning ways and need to get back to that.
“Doing business in the football market is not going to be a quick fix overnight. And we have players here who I trust.
“There are fantastic players here, loads of players I know are gonna be successful at this club and we’ve signed two in Dan and Aaron, with their speed and hunger, with quality that will be part of that.
“And I’m coaching and managing them here, the business side of it is you have to be in the market and, as I said, we don’t have any offers for our players.”
READ MORE: Five deals Man Utd are likely to do this summer