The Danish side have reportedly rejected an approach from the west London club for the defender, who has caught the eye of clubs across England and Europe this season
Fulham have had an offer for FC Nordsjaelland centre-back Jores Okore rejected, according to the player's agent.
The 20-year-old Ivorian-born Denmark international came to the fore in this season's Champions League campaign against Chelsea, Juventus and Shakhtar Donetsk with performances that have attracted interest from major clubs across Europe.
However, according to the player's representative Nikola Juric, it is Fulham that have made the first approach for his in-demand client - one that was swiftly rejected by Nordsjaelland.
"I heard that Fulham made an offer to sign Okore but his club rejected the proposal," Juric told Expressen.se.
"A lot of teams are interested in him. Half of the clubs in the Premier League are after him, so is Lyon and many others.
"He is only 20 years old," Juric continued. "If he signs with a club in England, he obviously won't be expecting to be playing regularly right away.
"So he knows that he has to be thorough sorting through all these offers and, for him, the most important thing is that a new club has a plan for him."
Fulham have been linked with strengthening their backline this January, after selling right-back Stephen Kelly to Reading and speculation continuing over the possible departure of captain Brede Hangeland.