He has been a mainstay of Liverpool's central defence this season, featuring 29 times and scoring one goal, in the 2-2 draw at home to Manchester City in November.
Benitez will at least be comforted with better news regarding Skrtel's fellow defender Glen Johnson.
The £17m signing is nearing a comeback, having not played since late December because of a knee injury.
"He's doing well. He was training [on Friday] with the team - a light training session," said Benitez.
"I was watching him and he was quite sharp but Sunday will be too soon."
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