Victories have been far harder to come by for Alan Pardew’s men, who went down 2-1 at home to Manchester United on Wednesday.
Palace sit precariously above the relegation zone and have won just six of their last 37 Premier League games, meaning they have the worst average points per game record of any side in English football since the start of 2016 (0.74).
Palace are without Mathieu Flamini after the midfielder suffered a groin injury on Wednesday.
Jason Puncheon is available again to Pardew after the midfielder served a one-match ban.
Pardew is still without long-term absentees James Tomkins, Connor Wickham, Bakary Sako, Loic Remy, Pape Souare and Steve Mandanda.
Conte has confirmed Eden Hazard should be in contention to feature for Chelsea after missing the Sunderland game with knee trouble.
Oscar, who is subject of transfer speculation from China, is out with illness but Kurt Zouma and Ruben Loftus-Cheek returned to the bench against Sunderland as unused substitutes following injury problems.