The Uruguay international, who has netted 22 goals for the Reds so far this season, has been rumoured to be a possible departure in the summer if Liverpool fail to clinch a Champions League place by the end of the season.
"I hope [to be at Liverpool] for a very long time because it's a massive club that kids dream about playing for," Suarez told the club's official website. "I've been very proud to be at a club like Liverpool and to have made the decision to come here.
"I do feel at home here. When I'm out and about, all I get is support and encouragement from the local people and that's very important and when I come here to the club I feel like people have known me all my life.
"I hope to be able to help out the team for as long as I possibly can while trying do something to make the club and the fans very happy."
Suarez moved to Liverpool from Ajax on January deadline day two years ago.