Roy Hodgson expects Patrick Van Aanholt and Christian Benteke to remain at Selhurst Park for the rest of the season.
Hodgson's is eager for the pair to follow Vicente Guaita's lead after he committed his future to Crystal Palace on Monday.
The goalkeeper Guaita put pen to paper on a new deal until the summer of 2023 on Monday to ensure the Eagles started transfer deadline day on a high.
The 34-year-old moved to south London in 2018 and has become a key player for the Eagles, but reports from his native Spain over the weekend suggested he had agreed a pre-contract with Real Sociedad.