Back-to-back defeats against relegation-threatened Everton and Luton have opened up questions over Hodgson's future at Selhurst Park with his side hoping Michael Olise's return can end their long struggle for goals.
Up next is a West Ham side that has also underwhelmed of late but can thank Tomas Soucek for late winners against Nottingham Forest, Burnley and Backa Topola.
With a formidable Christmas period coming up, West Ham will feel they have to capitalise on any momentum - and their opponents' lack of - to bank points while they can.
Date, kick-off time and venue
West Ham vs Crystal Palace is scheduled for a 2pm GMT kick-off on Sunday, December 3, 2023.
The match will take place at London Stadium.
Where to watch West Ham vs Crystal Palace
TV channel: In the UK, the game will be televised live on Sky Sports, with coverage beginning at 1pm.
Live stream: Subscribers can also catch the contest live online via the Sky Go app.
West Ham vs Crystal Palace team news
Jarrod Bowen and Michail Antonio both sat out West Ham's trip to Serbia due to injury. The club are hopeful the England international will be able to feature.
Mohammed Kudus and Edson Alvarez were also rested, with both set to feature against the Eagles.
Fresh injuries for Eberechi Eze and Cheick Doucoure dominate Palace's worries ahead of the game.
However, James Tomkins could be ready to return.
West Ham vs Crystal Palace prediction
Neither of these teams are particularly reliable in prediction terms.
West Ham have been inconsistent even if recently managing to scrape wins while far from their best, whereas Palace have only beaten lowly Burnley since the start of October.
A 1-1 draw.
Head to head (h2h) history and results
Michael Olise's stoppage-time winner won this fixture for the Eagles last season as they did the double over West Ham.
West Ham wins: 25
Crystal Palace wins: 18
West Ham vs Crystal Palace match odds
West Ham: 1/1
Crystal Palace: 29/10
Odds via Betfair (subject to change).