Hiddink is not expected to remain in charge of Chelsea beyond this season, but will continue to advise Abramovich on transfer policy.
And a report in the Mirror claims Hiddink believes Spurs are not getting the best out of Pavlyuchenko, the striker they signed for £14 million from Spartak Moscow.
Pavlyuchenko has scored 13 goals in 30 games for Tottenham but has found his opportunities limited since Jermain Defoe and Robbie Keane returned to the club in January.
The Russia international is now effectively Spurs' fourth-choice forward, having also fallen behind Darren Bent in the pecking order.
Hiddink, in his role as Russia coach, is currently in Moscow preparing Pavlyuchenko and Co for two key World Cup qualifiers.
And the veteran Dutchman caused laughter when speaking to journalists after he mistakenly said Andrei Arshavin was playing for Chelsea rather than Arsenal.
'Andrei is strong physically and psychologically' said Hiddink.
'I talked to him yesterday. He likes it in England. And he's already become one of Chelsea's leaders.'
Correcting himself, Hiddink said: 'What a slip of the tongue. Of course
he's a leader in Arsenal – but he would be doing the same at Chelsea.
'As for his adaptation in London, I think he's doing very well,' said Hiddink. 'I was amazed with what I saw.
'Arshavin adapted easily although it doesn't mean it was simple for him.'
'Playing in England requires a new level of physical fitness. They play almost every other day and to survive there one needs both speed and stamina.'