The 40-year old Australian goalkeeper comes out of contract at Craven Cottage at the end of the season but his future in Southwest London has not yet been sorted.
Despite the fact, Schwarzer insists he is not too worried about what's ahead of him even if he has to end up departing Fulham in the summer.
"There's been a discussion but there's no actual offer on the table at the moment," Schwarzer said.
"Basically we're in a position where we're going to wait until the end of the season and see where we go from there.
"I'm just concentrating on playing football and playing as well as I possibly can and one way or another it will be sorted out.
"I've got no concerns about that, whether it's at Fulham or elsewhere."
He added: "Nothing's been ruled out but, to be fair, I've not even considered anything yet because it's all been just about playing the last couple of games of the season and doing my best for Fulham.
"If I can do that, one way or the other something will come of it."