The Switzerland international, who scored a stunning goal in the Cottagers' 4-1 win over Crystal Palace, has been linked with a host of clubs with his contract set to expire soon
The Swiss midfielder has impressed for the Cottagers this season, scoring twice, and, as exclusively revealed by Goal, the 21-year-old is even attracting the interest of Italian champions Juventus.
But Jol has urged the former Palermo starlet to ignore the appeal of Antonio Conte's side and hopes Kasami will commit to the club for at least the next two years, beyond the 18 months he currently has remaining on his deal.
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“Then maybe Juventus can come here and pay a lot of money for him. That would be good for everyone.
“I told him to count his blessings and to be happy at that age playing Premier League football. He needs to keep his feet on the ground. He's a very level-headed boy.”
Kasami's profile has been boosted by his stunning volley against Crystal Palace and the west London club are keen to keep hold of him, with Jol predicting a big future for the Macedonian-born midfielder.
“There will be a situation in five or six months' time that we have to talk and extend his contract,” Jol continued.
“If he didn't score that goal it would've been a different story.
“"He could've gone to other clubs when he left Palermo but he came here. He started off well but he had to learn a lot and that's what he did.
“If you take the likes of Kyle Walker, Kyle Naughton and Andros Townsend, they played for other clubs then came back. Now Townsend is the one I go to the stadium for. He's a good player, almost like Arjen Robben, but not as good. He makes things happen for his team and Kasami's the same.
“He's got a very good shot and free-kick, so if he works hard he will be more and more important for us.”