Both England internationals are targets for bigger clubs and have been linked with departures this summer.
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Arsenal are pushing to sign attacking midfielder Eze, while defender Guehi is wanted by Newcastle and Liverpool.
But The Sun says the pair are closer to staying, rather than departing before the market shuts.
For the moment, Palace are pricing both players out of moving and are prepared to see Guehi run down his contract, with it having less than a year to run.
