The Paris Saint-Germain boss enjoyed a brief stint with the Premier League club during his playing career.
The Dutchman has endured a mixed spell in the Premier League. Despite booking a place in this season's FA Cup final, their league form has been less convincing at times, and their style of play has constantly come in for scrutiny.
While The Sun reports that Jose Mourinho is also in the running for the position, there are members of the Red Devils' board that look at the club's former defender as a better candidate as they look to create a pathway for United legend Ryan Giggs to become manager in the future.
The Sun claims that the club's hierarchy fear that the former Chelsea boss will bring in his own backroom team which would leave Giggs' future in question, while the Frenchman would be happy to work alongside the side's current assistant boss.
Although Mourinho's record is more decorated, Blanc has enjoyed success during his managerial career. His PSG side are currently 27 points clear at the top of Ligue 1 - with a game in hand to potentially extend their advantage further - and had the title wrapped up in March.
While the Premier League would promise to be a much more difficult challenge for the World Cup winner, that understanding of winning competitions comfortably may just help United get back towards the summit of the table.