The Australian veteran has indicated that he is unsure of his future at Craven Cottage and although Jol admits he wants to bring in a new gloveman, he says Schwarzer will not be replaced.
Jol also said that 23-year old Philippines international Neil Etheridge will be sent out on loan next season in order to gain first team experience.
"Mark Schwarzer is for us almost a hero," said Jol. "He saves games for us so I would like him to stay but we are looking for a goalkeeper.
"Neil Etheridge is young and has no experience. He will go on loan, 100 per cent, to gain experience to be the number one in the future.
"We are looking for a good goalkeeper so if Mark decides to stay I have two good goalkeepers, plus Stockdale because he is still there. I have to talk to him."