The 25-year-old has been heavily linked with a move to Manchester United this summer.
Atletico Madrid star Antoine Griezmann is attracting interest from Manchester United
Mourinho is also hoping Paul Pogba will help in convincing Griezmann to join United as he looks to bolster his attack.
United were handed a huge boost in their pursuit of Griezmann yesterday when Atletico coach Diego Simeone said he will not ‘tie down’ the forward.
Atletico Madrid president Enrique Cerezo wants Griezmann to remain at the club 'for a long time'
Jose Mourinho is determined to bring Griezmann to Old Trafford in the summer
But Cerezo has moved to cool speculation over Griezmann’s potential departure by claiming he is hopeful that he will stay at the Vicente Calderon.
"I don’t know what the interest from Manchester will be," Cerezo told television show Minuto.
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
"I can say that Griezmann will be an Atletico player for a long time."
Griezmann has scored 12 goals in 25 appearances for Atletico this season and is contracted to the club until 2021.