Reports suggested on Thursday that the Premier League champions were considering a bid for the Uruguayan.
"Now I'm here, it's all about enjoying myself and trying to be here for as many years as I can, because I'm at a club where I'm very happy, my family is happy, I've got fantastic teammates and a manager from whom I'm learning so much," Suarez told the Liverpool's official website.
"Let's hope we can keep improving. I'm working well and I'm very happy at a club where I've always wanted to be. At a club to whom I'm very grateful for the trust everyone is showing in me - a club with amazing supporters and teammates who are all great people."
Suarez has scored 11 goals in 16 games for the Merseysiders this season.