The Slovakia international's contract is set to expire at the end of the season but has been told by the club negotiations will not take place until after the season finishes
Tokos met with David Moyes last week to discuss the future of his client, whose contract with the Merseyside club is due to expire at the end of the season.
However the player’s agent has suggested the Mucha may have to wait until the end of the season before any contract negotiations with the club are carried out.
"I had a very useful meeting with Mr Moyes last week but at the moment I cannot reveal anything about what we discussed,” Jozef Tokos told sport.aktuality.sk.
“There is no chance an agreement will be made during the season.
“It is publicly known that the current manager David Moyes announced that he would not yet sign an extension and that the club would be negotiating it only after the season.”
Mucha, who signed for Everton in the summer of 2010, has only made two league appearances for the club since his arrival – both of which came in the last two games as a result of injury to regular keeper, Tim Howard.
However, Tokos has hinted his client may be forced to look elsewhere at the end of the season, and has not ruled out the “number of options” available to him in the summer.
"There are a number of options at the moment. He may reach an agreement with a new club during the season, which is legitimate according to FIFA,” he continued.
“At the moment I cannot say more than that there are clubs interested in him. Naturally, he can make an agreement after the season as well.”