The Eagles came from two goals down to earn a point against Leicester City last time out to leave them on 35 points having played a game less than their rivals.
No team has been relegated from England's top flight with more than 36 points in the last decade and with six games remaining, including Sunday's trip to Anfield, Palace's prospects are good.
Liverpool are on a good run themselves, winning five and drawing two of their previous seven, and will know any slip-up will damage their Champions League hopes.
Scroll down for Standard Sport's comprehensive preview...
Liverpool host Crystal Palace at Anfield with kick-off scheduled for 4.30pm on Sunday, April 23.
TV AND LIVE ONLINE COVERAGE
The match will be televised live on Sky Sports 1, with coverage starting from 4.15pm. Alternatively, you can follow all the build-up and action from 3.30pm with Standard Sport’s London Football live blog. Enter your email address below to be informed when coverage begins.
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Sam Allardyce has no fresh injury concerns after Patrick van Aanholt made his return from injury against Leicester City last time out.
Loic Remy and James Tomkins both continue to struggle with calf strains and Sunday's game is likely to come too soon, though a May return is possible.
Liverpool have racked up the biggest injury list of the entire division so Jurgen Klopp will have been relieved to come through against West Brom without more headaches.
Adam Lallana stepped up his recovery from a thigh injury this week but is not expected to return long before the end of the campaign.
Liverpool starting XI: Mignolet; Clyne, Matip, Lovren, Milner; Wijnaldum, Leiva, Can; Firmino, Origi, Coutinho
Crystal Palace starting XI: Hennessey; Ward, Kelly, Sakho, Schlupp; Milivojevic, Cabaye; Townsend, Puncheon, Zaha; Benteke
BETTING ODDS (via 888 Sport)
- Liverpool to win: 49/100
- Crystal Palace to win: 23/4
- Draw: 7/2
Click here to place a bet. Odds correct as of April 19 at 9pm.