With the Bulgarian striker only having a year left on his contract, agent Emil Danchev revealed on Thursday that there was interest in the 32-year-old from several clubs in Russia. Jol, though, believes Berbatov would prefer to stay at Craven Cottage, suggesting it would take a "lot of money" to persuade the club to sell the forward.
"I don't see a problem, I haven't heard anything off Dimitar," Jol told reporters. "I don't think that [Berbatov leaving] will happen. He wants to stay.
"They [another club] would have to come up with a lot of money for a 32-year-old to get him away from this club."
With Pavel Pogrebnyak returning to West London for the first time since joining a now relegated Reading side, Jol also warned any want-away squad members that players have traditionally fared better at Fulham before choosing to leave the Cottagers.
"You can use that cliché – the grass is always greener here, probably, and not at another place," Jol said. "There is a lot of evidence of players leaving this club and they had a better time here, maybe 80 or 90 percent of the players.
"Was there one player going to a top club or another club and did better than here? I don't think so.
"It's about them, they have to make their mind up. The players who are here, like Dimitar, Sascha Riether, even Mladen Petric and [Mark] Schwarzer – they all like it here. I think they would like to stay."