But the wishes of the fans are in danger of being ignored unless Chelsea act quickly.
Hughes is believed to have the backing of chief executive Peter Kenyon, who met with Abramovich and other members of the hierarchy last night for further discussions on Avram Grant's replacement.
Yet Abramovich is believed to favour the experience and credentials of the likes of Scolari, Ancelotti and Mancini, while Hiddink's name continues to be linked despite his constant denials.
It has been reported that the Russian multi-billionaire has also sought the advice of England coach Fabio Capello and has subsequently been told to put Portugal coach Scolari in charge.
However, Manchester City's move for Hughes has forced Chelsea's hand into deciding whether to take a risk on him.
He has impressed in his previous role as national manager of Wales and in turning Blackburn into a force in the top flight, but doubts remain whether he can handle the pressure of expectations at Chelsea as well as the egos in the dressing room.
It cost Grant his job, despite Chelsea narrowly missing out on the Premier and Champions League.
Blackburn want £5million in compensation for Hughes' services, but City are looking the most likely to lure him away from Ewood Park.