Bent is going through a torrid few months at Aston Villa under the new management of Paul Lambert and it has reached a point where the former international striker is not even considered first choice.
Lambert himself has not denied that Bent could leave in January and Bent is likely to push for a move.
And Jol believes that Bent could well compliment his already talented crop of forwards.
"I signed him [Bent] at Tottenham because if you saw him at Charlton he scored almost one every two games, so I thought he's a quality finisher," said the Fulham manager.
"You never know, but we've got three good strikers.
"Of course we could do with maybe another creative player in that position, then I could leave Berbatov up front all the time."
But, on the more extreme subject of taking on David Beckham, Jol was more certain of his assertions and suggested a move would undermine his philosophy of breeding a youthful side at Craven Cottage.
"We want to try and get a younger team," said Jol.
"[Beckham is] an unbelievable player and he's good to have around, but for us it's a non starter."