The Cameroon international was one of eight new players welcomed to Anfield since the end of last season.
"Competition is always good in every position and it will help bring the best out of me," Matip told Liverpool's official website.
"I have to be better and I want to be better.
"Having that quality of player around the squad means that if we have injuries – as we have in the first few weeks of the season – there are enough players of a high calibre to come into the team.
"I am also self-confident enough to say that if I am at a good level, I will play and I will be able to help the team."