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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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.