Palace chairman Steve Parish is prepared to listen to offers for highly-rated keeper Speroni.
"But he's at a stage of his career where he wants to play Premier League football. He missed out on that chance when we were last in the top flight because Gabor Kiraly kept him out of the team.
"We had a bid from Fulham but it was three hours before the window shut and that gave us no time to find ourselves another keeper. At that time we were so busy trying to get other players in that it was just impossible to accept.
"Fulham knew about their situation for a long time and could have made their move far earlier but they didn't. It just couldn't work that late.
"We've spoken to Julian about it and we've agreed that if another Premier League team come in we will consider the offer and talk to him about it - as we would with any other offer that comes in.
"But there is very little point pontificating about who might go where and when. Until a firm offer comes in nothing will happen."