The Uruguayan, who leads the Premier League scoring charts, is confident the Reds can secure Champions League football and admits to having overcome a "difficult" period.
The Merseyside club is fourth in the table, six points behind Arsenal, and Suarez - the leading scorer in the Premier League - is confident the team can bring Champions League football back to Anfield.
"It's very important because we know that in the last two years we haven't demonstrated that Liverpool can play in the Champions League," he told the club's official website.
"Now we are playing very well and we have the level to play in the Champions League. We have really good players and if we continue at this level, we can do it."
Suarez's sensational form has led to him being billed as one of best players in world football, but the former Ajax man is happy to reward his club and supporters for standing by him.
"When you are a child, you imagine a lot," he said. "Now many people or players speak about that and it's unbelievable for me and also for Liverpool, because in the last two or three years we have not played very well and not demonstrated our level. Now we are back to that.
"You work hard for the supporters and the people. It's important because the last few months were a little difficult for me. Now I've changed and it's okay."