The Slovakia international fell down the pecking order last season and also started the current campaign on the bench.
Skrtel, who has started the last seven games, told the Liverpool Echo: "After last season when I couldn't get into the team, this season has been very different so far.
"I am very happy. I am playing every game and trying to do my best for the team.
"Now I have to try to stay in the starting XI. It's up to me to keep proving to the manager that I deserve a place.
"There is real competition for places at the back. but that's good for everybody. It's important because it pushes everyone to do better."