A move in last month's transfer window seemed unlikely, but the Red Devils will go all out to land the marquee signing in the summer.
And former Liverpool legend Gerrard believes United's lack of Champions League football has so far seen the striker stall on a transfer to Old Trafford.
Antoine Griezmann has been heavily linked with a move to Manchester United
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He's probably thinking: 'Yeah, Manchester United probably is a good move, but it's still going to be there in the summer.'
"He's playing in the Champions League for Atletico Madrid," Gerrard told BT Sport.
"He's got a chance of competing for that, which they have done for the past couple of years.
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"And he's probably thinking: 'Yeah, Manchester United probably is a good move, but it's still going to be there in the summer."
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Arsenal are expected to contest Man United for Antoine Griezmann's signature in the summer
Griezmann, who is under contract with the Spanish outfit until 2021, is thought to have a release clause of £85m.
Reports suggest Arsenal will go head to head with United in the summer for his signature.