Leicester are still holding out for £80m for the England international, with United wiling to pay closer to £70m.
The 26-year-old might play a role in a deal getting tied up as reports claim he wants to make a move this summer.
Goal says boyhood United fan Maguire is 'flattered' by the thought of leading Solskjaer's young defence into the future.
Solskjaer has plenty of centre-backs but wants former Hull City man Maguire to raise the quality of his defensive ranks.
Manchester City have reportedly pulled out of the race to sign Maguire.