The 30-year-old, who is in the final 12 months of his current deal, could end up being sold in the January transfer window if an agreement is not reached by the Christmas period.
The Dutch coach is hopeful the player will remain at Craven Cottage and – despite talks stalling recently – the former Tottenham and Ajax boss believes there is a possibility the forward will stay.
“We've talked to him over the last month and hopefully we can agree something, but if not we have to get on with it,” Jol told the Fulham Chronicle.
“We would like to have Andy on board [for next year], but he's on board [for now] anyway. If he doesn't sign the contract we will continue for this season. It's not a problem.
“Andy is a very good second striker. We play [Moussa] Dembele, Clint [Dempsey] and Bobby [Zamora], but I feel sometimes in a 4-4-2 Andy is one of the best options.
“If there was a club interested in him you could think about it [selling him], but if not I'm happy for him to stay here until the end of the season.
“But for now we need to get an agreement. Last week I thought we were close. We will talk with him again today and hope we can agree something.”