Everton are set to agree new contracts with Tomasz Radzinski and Thomas Gravesen in the summer.
Gravesen has told Moyes he will stay
David Moyes has indicated he wants to keep the pair and both players have told Everton they will stay.
Denmark midfield man Gravesen has been linked with a move to Newcastle, while Portsmouth are reportedly interested in 30-year-old striker Radzinski.
Moyes wants to improve his squad after an indifferent season, but sees Gravesen and Radzinski as key players.