Reports have emerged this week claiming Manchester United will make their move for the France star in the summer.
United are expected to pay another world record fee, possibly as much as £100million, for Griezmann.
And the bookmakers expect them to get their man.
Antoine Griezmann has been cut to join Manchester United from Atletico Madrid
Antoine Griezmann is Manchester United's top target for the summer
Betway have cut United from 3/1 to 7/4 favourites to land the 25-year-old.
PSG have also been cut from 10/1 to 6/1 while Bayern Munich (14), Manchester City (20) and Arsenal (20) make up the other runners.
Betway’s Alan Alger, said: “Manchester United spent floods of cash last summer but still look some way off winning the Premier League title, so it would be no surprise to see them open the chequebook again.
How Man United could look with Antoine Griezmann
Sun, October 16, 2016
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
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“The man rumoured to be top of Jose Mourinho’s wish-list is Antoine Griezmann and punters seem to agree, as a number of bets have forced us to cut odds of an Old Trafford move to 7/4.
“French giants PSG spent a reported £40m on Julian Draxler earlier this month but it hasn’t stopped Griezmann being backed to join the German, and he’s now 6/1 from 10/1 to sign for the Parisians.”