That’s according to France manager Didier Deschamps who is adamant the striker will still be playing in Spain.
The 27-year-old has been strongly linked with a move to La Liga champions Barcelona, but he may yet remain at Atletico.
Griezmann is set to announce his intentions before France begin their World Cup campaign against Australia next Saturday.
While Manchester United have been previously linked with the former Real Sociedad player, Deschamps said the forward was staying in Spain.
“There is talk about their [Griezmann and Lyon captain Nabil Fekir’s] futures,” he said.
“It’s not ideal but I won’t be able to have ideal conditions anyway.
“But Antoine will remain in Spain, that much is clear, so no worries.”
Barcelona are reportedly ready to trigger Griezmann’s €100m (£88m) release clause.
Most of the Catalan’s squad have commented on rumours that the star could move to the Nou Camp.
Messi believes signing the prolific striker will help Barca’s bid to reclaim their former mantle as Europe’s top team from Real Madrid.
Asked if Griezmann is the top summer target Barca need, Messi told Spanish newspaper Sport: “I don’t know if he’s a priority.
“I’m in agreement that to get back to winning the Champions League we have to have the best players. And Griezmann is one of them. If the club sign him, brilliant.
“I don’t know if he’s the priority. It depends on the technical secretary and coach.
“I’m just saying that to win the Champions League you need to have the best. And he is very good!”