The Reds make the trip across Stanley Park for their first Merseyside derby of the season on Monday night, looking to keep up their fine form against the Toffees.
This will be boosted by the absence of two of Koeman’s key men, with the Dutchman forced to alter his selection in both defence and attack.
Club captain Phil Jagielka is suspended, after being sent off for two yellow-card offences in Tuesday night’s 2-1 victory at home to Arsenal.
Meanwhile summer signing Yannick Bolasie, who joined from Crystal Palace in a £25 million deal in August, is sidelined for the long term, with a knee injury that could keep him out until 2018.
“Bolasie had surgery on his meniscus but now needs another on his ACL,” Koeman told reporters on Friday. “He will be out for a long time.”
In Jagielka’s place, Koeman is likely to turn to Ramiro Funes Mori as partner to Ashley Williams, who scored the late winner against the Gunners.
Funes Mori was sent off for a shocking tackle on Divock Origi in the last Merseyside derby in April, with there no doubt some bad blood between the duo on the night at Goodison.
Origi has scored five goals in his last five games, and will be a major test of both Funes Mori and Williams in defence.
Koeman could field any of Kevin Mirallas, Aaron Lennon, Gerard Deulofeu or Enner Valencia as supporting options for Romelu Lukaku in Bolasie’s absence.
James McCarthy has also been utilised in a more advanced role this season, and provides the Dutchman with another option.