Citing sources in Italy, the report claims Sir Alex Ferguson is keen to sign a world class midfielder to bolster his options.
Ryan Giggs and Paul Scholes are approaching the end of their Old Trafford careers, while Darren Fletcher and Anderson have struggled with fitness over the past few seasons.
The emergence of Tom Cleverley has been encouraging, while PFA Player of the Year nominee Michael Carrick has enjoyed an excellent season.
But Ferguson believes United require a partner for Carrick in the central midfield, and Marchisio is under consideration.
Speaking to the club's official magazine, Inside United, Ferguson confirmed his recruitment drive for next season is already well under way.
Italian news outlet Mediaset claims that Marchisio is being tracked by Old Trafford scouts, and the Italian could be tempted to broaden his horizons, with a move out of Serie 'A' an option.
The 27-year-old has been an ever present for Juventus this season, making 26 league appearances and scoring six goals.
Alongside Andrea Pirlo and Arturo Vidal, Marchisio has played his part in a hugely influential Juventus midfield. The defending Serie 'A' champions are on course for another title this season, but Marchisio could swap the Italian champions for their English counterparts this summer.