Chelsea boss Antonio Conte is demanding the sale of Diego Costa this month.
The Sun says Conte is keen for a deal to be pushed through by Monday July 3.
That's the date Chelsea are due to return to their Cobham base for pre-season training.
Costa now faces a difficult choice with his career in west London all but over, despite wanting to stay.
Atletico Madrid, his preferred destination, are in the midst of a transfer ban.