The Uruguayan, who scored four times for the Reds in their 5-1 home win against Norwich City in the Premier League on Wednesday, has often been quoted as saying that he could leave England.
"Yes, I think we can achieve what we have set out to do," The Mirror quotes the 26-year-old as saying when asked if Liverpool can qualify for next season's Champions League.
"My aim is to help make the team better. My job is just to score the goals that mean we keep winning games and get as high in the table as possible - and we are playing at a good level.
"I am happy to be in the Premier League because it is the best league in the world. I don't know about challenging for the title, but we want to be as high up in the table as possible and do as well as we can."
Suarez joined Liverpool from Ajax in January 2011.