Suarez has proved to be a smash hit on Merseyside since arriving from Ajax last January, with the striker establishing himself as one of the best players in the Premier League.
The Uruguayan's stellar performances have alerted a number of top clubs across Europe, but the 24-year-old, who signed a five-year deal when he joined Liverpool, admits he loves life at Anfield and he would be happy to extend his stay at the club.
"I've just started a phase of my career which I always dreamed about and wanted to do, which is to play for Liverpool," Suarez told the Daily Mirror.
"I have five years left on my contract and I think beyond that, I'm already thinking about staying many more years at Liverpool.
"It's a club I like. I feel very good about being here, about being in the city.
"I feel very pleased. It would be difficult to match the atmosphere, hunger for success and glory that this club has at another team."
Suarez also praised Reds boss Kenny Dalglish for giving him the confidence to produce his best on the pitch.
"The truth is there's not much conversation with Kenny because of the language barrier, which makes it hard for me," added Suarez.
"But he is the one who has given me confidence. He was the one who had confidence in me. He was the one who said 'I want Suarez'. That sort of belief is something you repay when you play.
"When a coach gives you confidence, you can give your very best back.
"If you don't have faith in your manager, it's very difficult to play well and I think Kenny has a lot of confidence in me."