The Daily Express is reporting that the Red Devils are finally closing in on a deal to sign the 28-year-old winger from the Italian club as they look to secure their third signing of the summer.
The same report states that the Red Devils look set to pay a transfer fee of around £47m for the Croatia international as Jose Mourinho looks to further bolster his attacking options.
The story says that Manchester United are prepared to try and thrash out a deal before Inter head to China for their pre-season tour.
Should Perisic sign for the Red Devils, he would become their third recruit of the summer as Mourinho gears his team up for a return to the Champions League next season.
The Red Devils completed the signing of Romelu Lukaku from Everton last week after also having tied up a deal to sign defender Victor Lindelof from Benfica last month.
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