According to the 'Daily Telegraph', The Blues are willing to pay whatever it takes in order to make the Frenchman join their club.
Chelsea would pay obviously Griezmann's release clause which is around €100 million. The reason for their nervousness and insistence is that they're still looking for a good striker for Antonio Conte's squad.
The Premier League is aware of the numerous clubs who want to sign the 25-year-old and their principal target is now to negotiate with Atletico in order to have him as soon as possible.