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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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.