The Argentinian goalkeeper, three-time Eagles player of the year, will see his current deal expire at the end of the season and has so far stalled on penning fresh terms.
Palace are growing increasingly anxious and have already admitted they may need to cash in during the January transfer window in order to avoid losing Speroni on a free in the summer.
"The club have made the final offer, the negotiations are over and it is up to me to decide," Speroni told the Croydon Advertiser. "I have a huge decision to make. For me, for my career and for my family.
"I know some people think that I am definitely leaving, but there is still a chance that I could stay because of the love I have for the club.
"I think the last time I signed a deal, when Neil Warnock was at the club, it went even further down the line, the contract ran out in the summer and I eventually signed it in March. What I know for sure is this is the hardest decision I've ever had to make and I want to make sure that I get it right."
Source: PA
Source: PA