Manchester United are preparing a £60m move for the England midfielder - with an offer planned for as early as January.
But transfer expert Fabrizio Romano said on his YouTube channel: "For January, Palace have no intention to negotiate.
"They want Adam Wharton to stay at the club and to be a really important part of the story.
"Then 2026 summer transfer window, maybe after the World Cup, we will see if Wharton will be there or not. He has chances. Palace will assess the situation with the player, also based on proposals.
"We have many links with Man United. I can confirm that Man United appreciate the player guys, but it's not only Man Utd. Trust me, it's several clubs appreciating this boy. He's really appreciated. He's considered one of the best talents in his position in England.
"And so, for sure, there is interest, Man United, and not only, but at the moment, nothing has been decided in terms of bid, numbers.
"If you see, 30, 40, 50 millions, nothing at this stage. Palace are very focused on this season with the player and the player is very focused on this season with Palace."