The Uruguayan scored the equaliser in the Reds' 2-1 FA Cup semi-final victory over Everton on Saturday, a rare high point in what has been a difficult season for the 25-year-old.
In the wake of the eight-match ban given for racial abuse directed Manchester United defender Patrice Evra, Suarez has been linked with a move away from Anfield, with Paris St Germain reportedly interested.
But, in comments quoted by The Daily Telegraph, Suarez said: "I will continue at Liverpool. It is obvious I will continue.
"I have four years left on my contract and I am very happy and content to be here and I hope good things continue."
Suarez also said he had moved on from the Evra incident.
He added: "I am over that. Obviously the important thing was the support from all the people and there is no need to talk about that as it is already in the past."
Meanwhile, chairman Tom Werner hinted he would be at Wembley for the final against Chelsea in May.
Werner and principal owner John W Henry missed the semi-final as they were back in America attending the Boston Red Sox's first home game of the season.
Werner told www.nesn.com: "The team showed a lot of character, and we dominated the second half.
"Suarez and Carroll's goals were both brilliant, and Wembley will be a lovely place to visit in May."