Cottagers boss Martin Jol is in the market for a new keeper, with the Whites keen on Roma's £3million-rated Maarten Stekelenburg.
And Schwarzer admits his own future is still in the balance.
"There's no new developments; there's no new discussions; there's no nothing," said the Sydney-born shot-stopper.
"Something will be sorted out - I've got no worries about that. I've got no idea at this stage where I'm going to be. I'm open to anything."