The striker scored both goals in the Premier League club's 2-0 victory against Danish side Odense in the Europa League on Thursday.
"We have offered him another two years so there is a lot of confidence in him," said Jol.
"Sometimes it's better to start talking in December or January. Andy is a good boy and a good worker.
"He has one year left and hopefully we can change that. If not, it is in his hands."
Jol was also keen to praise the 30-year-old's contribution in Denmark.
"He is top scorer in Europe if you count qualification matches too. He was a handful tonight," he added.
"The second goal was unbelievable. The ball was high and he took it on his shoe. It was amazing. It came from nothing."
The win has moved Fulham into second place in Group K.