The Dutchman is expected to leave for a bigger club at the end of the season.
He turns 25 this weekend and is under contract until June 2018, having arrived from Feyenoord in 2014 for €7m.
According to Il Messaggero newspaper, the centre-back is likely to be heading towards Old Trafford next term.
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Jose Mourinho’s club is believed to have a verbal agreement to sign De Vrij for €35m.
Chelsea and Milan are also interested, but would have to beat that figure to force Lazio into a rethink.
De Vrij already has 30 senior caps for the Netherlands, scoring three goals.
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