Goal, as quoted by the Daily Express, is reporting that the Serie A champions will look to sign the CSKA Moscow playmaker instead of the Serbia international in the summer transfer window.
The same article states that Juventus will no long pursue Milinkovic-Savic after the Italian giants signed Germany international Emre Can in a free transfer from Liverpool FC last week.
According to the same story, Lazio are demanding £132m for their Serbian playmaker, which would comfortably eclipse the £89m fee that Manchester United paid for Paul Pogba in the 2016 summer transfer window.
Manchester United have already signed Brazil international Fred in a reported £52m deal from Ukrainian Premier League champions Shakhtar Donetsk earlier this month to improve their midfield options.
The Red Devils have also brought in Portuguese full-back Diogo Dalot in a £17m deal from FC Porto.
Manchester United finished in second place in the Premier League table last season but finished a staggering 19 points adrift of runaway champions Manchester City.
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