And United are ready to spend big in order to land the France international.
They will have to meet Griezmann’s £86million buy-out clause at the Vicente Calderon, and are apparently willing to do so.
Reports in France have even claimed personal terms have already been agreed in principle.
Antoine Griezmann has won one major trophy so far at Atletico Madrid
The 25-year-old is not simply motivated by the potential contract in Manchester
According to The Sun, United have a deal worth £300,000 a week prepared to bring Griezmann to Old Trafford – but that alone will not be enough.
The 25-year-old is not simply motivated by the potential contract in Manchester, as Champions League football is his key agenda.
Griezmann wants to be playing at the highest level and is said to have made clear to his representatives moving to United is not about the money – it’s about achieving success.
Antoine Griezmann will only move to Old Trafford if Manchester United have Champions League football
How Man United could look with Antoine Griezmann
Wed, February 1, 2017
Is this how Manchester United's squad could look with Antoine Griezmann
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Is this how Manchester United could look with Antoine Griezmann
Despite his huge talent and array of individual honours, the forward has won just one major trophy so far in his career, which was the Spanish Super Cup in 2014.
He endured heartache in the Champions League final last season and at Euro 2016 with France, losing to Portugal at the last hurdle.
Should he move to Manchester United, Griezmann would significantly strengthen Mourinho’s team, but a platform is needed before the summer.
Success is Antoine Griezmann's major motivation, having been gutted at losing the Euro 2016 final
The Red Devils sit sixth in England’s top flight, although form has improved as they are on a 15-game unbeaten run in the Premier League.
If United earn a top-four finish or win the Europa League, that will likely convince Griezmann to call time on his Atletico career, having joined them in 2014.
The La Liga club’s president Enrique Cerezo insists their star man will stay long-term, but if United match his release clause this summer, Atletico will be powerless.