The Daily Star reports that United boss David Moyes is keen to sign the 18-year-old defender in January.
Southampton are keen to keep the England Under-21 defender at the club and have put a huge price-tag on the youngster.
United face competition from Chelsea and Tottenham in the race to sign Shaw.
What is your opinion? Feel free to discuss the article under. You have to comment by using your Facebook profile. Be fair and have respect for other people and opinions!
Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.