The Uruguay forward took his goal tally to 22 for the campaign with the opener in Wednesday night's 2-2 draw at Arsenal.
The often controversial Suarez has quickly become a cult hero on The Kop since his £22.8million move from Ajax on transfer deadline day two years ago.
The 26-year-old intends to continue to drive the Reds on as they look to develop into Champions League challengers once again under Brendan Rodgers.
"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, www.liverpoolfc.com.
"I've been very proud to be at a club like Liverpool and to have made the decision to come here.
"In two years I've lived through some spectacular and very special moments that I will never, ever forget.
"There have been a few difficult times as well, but with the support of my family, the club and the fans, things have gone well for me."
Suarez continued: "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."
