Chelsea owner Roman Abramovich can bring Anzhi coach Guus Hiddink back to the club.
The Sun says Hiddink, who managed the Blues in 2009, has to decide before May 30 if he will sign a new one-year deal or walk away.
The Dutchman, 65, took Dagestan-based Anzhi into the Europa League and billionaire owner Suleyman Kerimov rewarded him with a £1million bonus.
But he has remained close to Chelsea owner Roman Abramovich.