The Serie A giants are strongly connected to a move for Sancho, 25, after his return to Old Trafford from his loan in Chelsea.
Various reports have suggested that United has accepted a range of approximately £ 25 million from Juventus for the services of the winger player, with discussion about his salary that is currently taking place.
According to the sun, Juve has now made Rashford, 27, their number one target and hopes to get a deal across the line.
The report does not add whether this would be instead of or a deal for Sancho, nor does it state whether a relocation for Rashford would be permanent or on loan.
Rashford's preference is supposed to be a move to Barcelona, although his demands of high wages have turned out to be a stumbling block for the La Liga champions.