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!
Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
Who of Europe’s top strikers will move to England this summer?