The 31-year-old has been a mainstay in the Cottagers' defence since joining the club as a relative unknown from FC Copenhagen nearly five years ago. But his agent Rune Hauge said on Wednesday night they were in no hurry to sort out an extension to the deal which expires in the summer.
Jol said: "I have been in this job a long time. I have over maybe 1,300 games as a player and as a manager. Maybe a long time ago I would be worried a bit but I stopped worrying. I always worry about the next game, that is my only little concern."
He added: "Rune is a good guy so if we can strike a deal then we will do that.
"He loves it here so it would be a bit strange if he goes to another club because he loves it here. He is team captain. I don't think he will find a better club than we are and if he does he is entitled to go wherever he wants. But I still feel that we have a big chance of keeping (him) here."
Hangeland's departure would be a huge blow for Fulham, who have to only look back to Monday for an example of his importance.
After three matches out suspended in which the Whites managed to collect just one point, the defender shone in the 2-1 defeat of Newcastle.
"Brede is my captain, he is club captain, team captain," Jol said. "He has been important for as long as he has been here.
"I told him this morning that he looked hungry, he looked eager, ambitious, you know?
"Of course we missed him for three matches but he probably needed that space and he came back and he was better than ever before."