A sole Andrew Johnson goal against Birmingham City saw the visitors claim the last victory on their travels in 2004, and face a Reds side buoyed by the return of Luis Suarez
The newly promoted club have gone 16 top-flight games without a victory away from Selhurst Park, with their last success coming courtesy of Andrew Johnson's goal in a 1-0 triumph at Birmingham City in the 2004-05 campaign, which ended in relegation.
Ian Holloway's side have endured a tough start to life back in England's top tier after an eight-year absence, collecting just one win in six games and losing all three of their away fixtures at Stoke City, Manchester United and Southampton.
| RODGERS WARY OF PALACE
|16/1||Crystal Palace are 16/1 with Bet365 to beat Liverpool
Brendan Rodgers' men bounced back from their first defeat of the season at home to Southampton on September 21 - which ended an eight-match unbeaten league run at Anfield - by winning 3-1 at Sunderland last time out.
That game represented Luis Suarez's return to Premier League action after his 10-match suspension and the striker marked the occasion by scoring twice.
Suarez's comeback has helped offset the loss of Brazilian playmaker Philippe Coutinho, who will again be unavailable with a shoulder injury.
Liverpool will also be without Coutinho's compatriot Lucas Leiva, who is banned after picking up his fifth booking of the season at the Stadium of Light.
And Rodgers revealed on Thursday that Glen Johnson and Aly Cissokho (both ankle), along with Joe Allen (hamstring), will not be back until after the upcoming international break, while Sebastian Coates (knee) is a long-term absentee.
Holloway, meanwhile, once again has to contend with an extensive injury list, with Jack Hunt and Jonathan Williams (both ankle) and Glenn Murray (knee) definitely out.
Captain Patrick McCarthy (groin), Yannick Bolasie (hamstring) and Damien Delaney and Jonathan Parr (ankle) are also all doubtful as Palace seek their first league win at Anfield since November 1991.