That is the view of Atletico Madrid captain Gabi who doesn't believe Griezmann should leave Diego Simeone's side.
Griezmann has been subject to heavy transfer speculation this season with Manchester United, Chelsea, Real and Barcelona among the clubs after his signature.
The France international admitted on Monday a move to England or Bayern Munich would be a "dream".
Antoine Griezmann has been subject to heavy transfer speculation
Atletico Madrid captain Gabi believes a move to Real Madrid wouldn't be a step forward
But Griezmann also stated that he has no plans of leaving the Vicente Calderon any time soon.
And Atletico Madrid team-mate Gabi has claimed a move to their Spanish capital rivals wouldn't be a step in the right direction.
"I cannot imagine Griezmann playing for another team," Gabi was quoted as saying by AS.
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"He is young and can play on any team in the world.
"As of today, Real Madrid are not better than Atletico, I hope this trend continues with us."
Express Sport understands that United are willing to match Griezmann's £86million release clause when the summer transfer window reopens.
The 26-year-old has scored 22 goals in 40 games in all competitions this season for Atletico.