Griezmann admitted on Monday that playing for a club such as Real Madrid, Barcelona or Bayern Munich at some stage in his career would be a dream come true, although he also stressed he has no intentions of leaving Atletico any time soon.
Gabi has now had his say on his team-mate's future and is not convinced a move to the Santiago Bernabeu side would be the right step in his career.
"I cannot imagine Griezmann playing for another team," Gabi was quoted as saying by AS.
"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."
Griezmann has been a key figure for Atletico this campaign, scoring 22 goals in 40 appearances in all competitions.
The 26-year-old has a contract with the capital club until June 2021.