He said: “I don’t tie anyone down, I simply keep working to continue getting better for the sake of the club.
“He is in an extraordinary moment, is working well, has gotten back on the scoresheet and his form is good. It is normal that the best teams in the world want him.
“I am not surprised that the teams who are looking are the ones who can afford him.”
Mourinho has told club chiefs that they must prioritise a No 10 with the talent and ability to link midfield to attack.
The Special One sees Griezmann as the perfect catalyst to get the best out of summer signings Paul Pogba and Zlatan Ibrahimovic.