Everton manager Sam Allardyce is relying on home form to lift his side clear of the threat of relegation trouble.
The Toffees have won just once in nine games, against Leicester last time out at Goodison Park, in all competitions.
A defeat against Crystal Palace would put Saturday's opponents, currently 14th, just a point behind Everton - who go into the weekend just seven points off the bottom three.
Allardyce thought the threat of relegation had been extinguished after an impressive start to his career at the club following the sacking of Ronald Koeman.