The former Blues man has been impressing the board at Stamford Bridge with his management of the Cottagers, with the side currently on a 14-game unbeaten run.
And according to the Daily Mail , it's that attacking philosophy and his control of the changing room that is impressing the Chelsea board.
However, it is thought that Barcelona manager Luis Enrique is the favourite for the hotseat, with Jokanovic yesterday saying he has had no time to think about other jobs after having been linked with the Southampton job
He said: ""I am so busy here and thinking about the game ahead with my team.
"In general we talking about some top opinion, positive or negative, if somebody is talking about myself in the future, it can be great news for myself.
"But at this moment, I am so busy to thinking about gossip and about other teams.
"I have enough here where I am right now and I must be focused and concentrate for myself."
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