one that leaves him in a no-win situation.
The Russians are already furious at the prospect of Hiddink being lured away from his job in charge of the national team halfway through the qualifying campaign for the World Cup.
Losing Hiddink, who guided Russia to the semi-finals at Euro 2008, would be bad enough. But if the engineer of his departure proves to be Abramovich, then the Chelsea owner will be accused of betraying his nation.
Rumor has it that Abramovich has political ambitions back home in Russia beyond his role as governor of the remote province of Chukotka. That may just be idle talk, but if there is an element of truth to it, then he won't win many votes by depriving his country of the man that has turned Russia back into an international heavyweight on the soccer scene.
But then how will the Chelsea fans feel if Abramovich allows Hiddink to walk away from Stamford Bridge without the blink of eye?
If that happens, then the accusations that the oligarch has finally fallen out of love with 'Chelski' will only gather pace.
It's a big decision for Abramovich either way. Already in the space of ten days, the owner looks to have had his enthusiasm for Chelsea rekindled by the arrival of his friend Hiddink.
The pair sat together while watching Aston Villa's Uefa Cup draw against CSKA Moscow in midweek and it is no secret that they enjoy a close relationship.
Losing Hiddink would appear to be unthinkable, especially if his early impact continues to revive Chelsea between now and the end of the season.
Under Luiz Felipe Scolari, few would have backed Chelsea to claim anything at Villa on Saturday, but Hiddink's team cruised to the points against Martin O'Neill's men.
Even Chelsea's odd couple, Nicolas Anelka and Didier Drogba, performed together and actually looked like they were enjoying it at Villa Park. Wow! How did Hiddink pull that one off?
Hiddink said: "Anelka and Drogba worked very hard for the team and they helped us get the first win which was very pleasing for everyone, not just me.
"They understand that they are our first line of defense and if they can continue to play like that then there is no problem for me to use their very strong qualities as attacking players.
"Their attitudes have been excellent. All the players have been good. We had a good week working and there have been no signs of all the problems that have been written about. What they did with the hug at the end of the game was genuine.
"If you have the correct attitude you can progress quickly and that is what I would like to do."
Hiddink's secret, according to those that have worked with him in the past, is that he allows the players to act like men and that his relaxed approach seeps into the psyche of the dressing-room.
South Korea, Australia, Russia, PSV Eindhoven. The list goes on, but wherever Hiddink has worked, he has been a success.
Andrei Kanchelskis, the Russian winger who made his name in England with Manchester United, has witnessed Hiddink's success with Russia from close range and he insists that he is the perfect man to sort Chelsea out.
Kanchelskis said: "There seem to be psychological problems at Chelsea, but Hiddink is the man to sort it out.
"He will need time, though, because he has never worked in England before and it will be tough for him. I know a lot of the players in the Russia squad, though, and they all tell me what a great manager Hiddink is.
"Hiddink is more open and more relaxed than most managers and the Russian players like that mentality. That is one of the reasons why they did so well under him at Euro 2008."
The Russians love him and the Chelsea fans are likely to feel the same way if he brings success this season.
But if push comes to shove, Kanchelskis insists that there will be only one winner between Russia and Chelsea this summer.
"He will be back with Russia for sure," insists Kanchelskis. "The Russian Federation have given him a contract until 2010 and he will definitely honor that. I have no worries about it."