The 31-year-old defender, who first arrived at Craven Cottage back in 2008 from Copenhagen, is out of contract at the end of the season and is currently free to negotiate with other interested parties. Nevertheless, the Norway international has been a key figure for the club again this season, making 23 Premier League appearances, and Jol hopes that a deal can be agreed to in the near future.
"We are talking to quite a few players [about contract extensions]," Jol told reporters. "[Hangeland] is one of them. It's about him, but we are talking so it's a positive thing and he wants to stay here. That's good.
"So there is no news now, but hopefully [there will be] in the next couple of weeks."
Fulham travels to Sunderland on Saturday, and Jol admitted that he was interested in signing striker Steven Fletcher in the summer before he moved to Martin O'Neill's Black Cats instead.
"Yes," Jol said when asked if he had moved for the Scot, "But he was quite expensive.
"Sunderland are well-known for getting these players in. They did that with Connor Wickham. They paid a lot of money for him. You could say Fletcher is doing well but why shouldn't he be? He is a terrific No.9."
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