Spurred by Romelu Lukaku's goals, Ronald Koeman's side have closed steadily on the battle for Champions and Europa League qualification and victory in Saturday's early kickoff at Anfield would, temporarily at least, lift them into fifth spot.
Defeat, on the other hand, would leave them isolated in seventh and struggling to catch the teams above them.
Everton were beaten 1-0 at Goodison Park earlier this season when Sadio Mane's stoppage-time goal ensured bragging rights remained in the red half of Merseyside.
Liverpool won the corresponding fixture 4-0 last season and Everton have to rewind all the way back to October 2010 for their last win over their arch-rivals, a 2-0 victory at Goodison.
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Their last win at Anfield came in a feisty affair in 1999 when Kevin Campbell scored the winner and three players, including Liverpool's Steven Gerrard, were sent off.
Hardly the kind of run to inspire much hope but Koeman's side have lost only one of their last 12 Premier League games compared to Liverpool's rather up-and-down form which has seen them win only three of their last 10.
Both sides were dealt blows in the build-up to the 228th Merseyside derby with Everton defender Seamus Coleman breaking his leg during Ireland's World Cup qualifier against Wales.
Liverpool will also be missing Adam Lallana after he suffered a thigh injury playing for England and manager Juergen Klopp will be sweating on the return of Roberto Firmino and Philippe Coutinho from international duty with Brazil.
Fourth-placed Liverpool are six points above Everton, having both played 29 games -- two more than the sides separating them Arsenal and Manchester United.
Arsenal, level on 50 points with Everton after four defeats in five games host third-placed Manchester City on Sunday with their hopes of a 21st consecutive top-four finish in peril.
While Arsenal are looking over their shoulders, Jose Mourinho's United, who have 52 points, host West Bromwich Albion and are looking up after going 18 matches unbeaten in the league.
While the teams below them jostle for positions Chelsea's title march has been relentless and the Blues can tick off another three points with victory over Crystal Palace.
Tottenham Hotspur, 10 points behind Antonio Conte's side in second place, have not given up the chase but three points at a Burnley side who have won nine of 14 at Turf Moor will be paramount if they are to maintain their lingering hopes.
At the other end of the table Swansea City host second-from-bottom Middlesbrough on Sunday while on Saturday Jermain Defoe, fresh from scoring on his international return with England, returns to the thankless task of trying to fire Sunderland off the foot of the table away at Watford.
(Reporting by Martyn Herman; Editing by Toby Davis)
