The Slovakian centre-back made his seventh successive start in Saturday's 2-2 draw at Newcastle United.
"After last season when I couldn't get into the team, this season has been very different so far," Skrtel told the Liverpool Echo.
"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. You have to show what you can do every day in training and you know that if don't perform there's someone waiting to take your place."
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