The 21-year-old PSV Eindhoven winger has been in sensational form this season notching up nine goals and eight assists from 17 league games.
The report adds that Inter Milan, West Ham, Bournemouth and Tottenham are interested in the 21-year-old.
The Dutchman has a contract with PSV till 2021, but the report claims that the winger will leave in the summer rather than in January.
United have a history of signing top Dutch talent with Ruud van Nistelrooy, Robin van Persie, Jaap Stam and Edwin van der Sar winning honours at Old Trafford.
Bergwijn seems set to be a huge name in the future, and if we can sign him for £25m, it would be a fantastic deal.
The Red Devils are in fantastic form under Solskjaer but we can also do with some quality in the final third.