Pablo Fornals opened the scoring within the first couple of minutes in the game, meeting a Ryan Frederick's cross. Andriy Yarmolenko doubled the Hammers' lead; chipping the ball over Ellery Balcombe from a perfectly-weighted pass from Said Benrahma.
A own-goal from Andy Butler reflected the poor Rovers' performance as the Hammers were comfortably heading into the fifth round.
Oladapo Afolayan scored eight minutes into his debut, tapping-in from close range. Ryan Fredericks' attempt forced Balcombe into a low dive, pushing the ball into the path of Afolayan who capitalised on the opportunity.
Palace most recently lost to Manchester City, as the Eagles were thoroughly beat at the Etihad Stadium. John Stones scored his first and second Premier League goals for the Blues - either side of the halftime whistle - before Ilkay Gundogan and Raheem Sterling also contributed to the scoreline.
Last time out, Palace only created two opportunities and failed to register a single shot on target.
Wilfred Zaha is a doubt for the hosts, due to a knock for a second gameweek running.
Carrying a hamstring injury, Jeffrey Schlupp will also miss the London derby.
Defender, Mamadou Sakho, is out as well with a thigh injury.
Arthur Masuaku will be missed again as he starts his recovery after completing a successful knee operation.
Crystal Palace: Guitia; Ward, Kouyate, Cahill, Mitchell; Milivojevic; Townsend, McCarthy, McArthur, Eze; Benteke.
West Ham United: Fabianski; Coufal, Ogbonna, Dawson, Cresswell; Soucek, Rice; Bowen, Benrahma, Fornals; Antonio.
Ones to watch
Crystal Palace - Christian Benteke
The Belgian will hope to score once again against West Ham this season, as the striker is likely to start up top for the Eagles on Tuesday night.
Having mustered a goal tally of three this season, Benteke's hold up play and strength can certainly cause the Hammers' defence problems.
West Ham United - Michail Antonio
The Englishmen goes forward with a threat and links perfectly with Jarrod Bowen, Pablo Fornals and even Aaron Cresswell at left-back. Despite his injuries, Antonio is the only recognised striker at the club and is the main man to drive the club forward. He certainly will have a big effect on the game this weekend.
West Ham United 1-1 Crystal Palace (16/12/2020)
Where to watch
UK residents will be able to watch the game live on BT Sport on Tuesday, 26th January 2021, from 17:30 PM with the game kicking off at 18:00 PM.
Crystal Palace 0-2 West Ham United