The striker was keen to leave Anfield in the summer but has since penned a new contract as is now looking to reach the Champions League and win silverware with the club.
The striker expressed a desire to leave Anfield in the summer for a side playing in the Champions League, with Premier League rival Arsenal seeing a bid for the Uruguayan knocked back.
"We have 12 games left and let's see what we can achieve," Suarez told The Liverpool Echo. "Can we win the title? I'm not sure. I think this season the Premier League is so difficult. Every team can lose games. Man City, Chelsea and Arsenal have been dropping points.
"To be in the Champions League is what we all want. This is our objective - to play in it next season. We have a very good team playing at a good level and we believe we can get in the Champions League."
Suarez went on to say that he wants to experience Champions League football at Liverpool's famed home ground.
"I want to be there with Liverpool. It's an unbelievable competition," he said. "It's where we want to be - playing against the top teams in Europe. Stevie [Gerrard] said when you have played Champions League football at Anfield you will never forget it.
"When I arrived here I said it was my dream to play for Liverpool and play Champions League here. I know I can achieve my dreams here."