The Red Devils are known to be in the market for a new centre-back ahead of the off-season, with their iconic captain having already agreed a free transfer to Inter Milan.
Mangala has long been mooted as a target, and it now appears that United are ready to up their interest after Moyes sent trusted scout Robbie Cook to assess the 23-year-old.
The young Frenchman is currently seen as one of Europe’s top defenders, and is believed to be on the radars of a number of big clubs – such as Manchester City.
But Moyes is hopeful that he can snap up the £38m-rated man this summer as he plans to build his side ahead of next season.
City failed with a late January move for Mangala after baulking at his valuation, but it is understood that the Old Trafford side are more eager to pay big with Moyes possessing a supposed budget of over £100m.
A deal for Sporting Lisbon’s William Carvalho is reported to have also been agreed, while Toni Kroos and Luke Shaw are believed to be priorities heading into the next window.