But the Old Lady do not intent to respond as they try to keep their star striker.
Dybala has scored 15 goals as Juventus sit second in the Serie A table – one point behind leaders Napoli.
The two clubs are likewise interested in signing Antoine Griezmannn from Atletico Madrid.
According to Italian publication Calico Mercato, Juventus are keen to not lose Dybala while they are in such a fierce title challenge.
They also expect full-back Alex Sandro to leave in January and cannot afford two key players to depart at the same time.
For this, it is reported that Juventus are not naming a price for United to sign the 24-year-old.
However, there is a suggested concern that Dybala is unhappy with the current 4-2-3-1 formation.
It means that he is forced into a wide position to supply Gonzalo Higuain.
And in turn he could try to force through a move from the inside, report Calcio Mercato.
But Juventus want to hold out until at least the end of the season.
United are keen to get the deal done soon to not lose any more ground on Manchester City.
The Red Devils are 15 points behind the table-toppers and were beaten 2-1 in the Manchester derby.
But Jose Mourinho wants reinforcements so he can challenge for honours in the second half of the season.