The 27-year-old has two years left on his current contract with the Reds, but has recently been linked with a move away from the club.
The Sun reports that Skrtel is set to sign a new four-year contract with the club.
Liverpool boss Brendan Rodgers is keen for the defender to sign a new long-term contract with the club.
Skrtel joined Liverpool in January 2008.
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
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