The 26-year-old has been linked with a move away from the club following his 10-match ban for biting Chelsea's Branislav Ivanovic.
However, the Uruguay international, who misses today's Merseyside derby through suspension, has dismissed rumours of a summer exit.
According to a report in the Sun, Suarez said: "I have a deal with Liverpool and this is my present — and future.
"From the day I arrived, I saw how special this derby is, so it is a pain to miss it. But we have a big squad which can function without me."
Suarez has hit 30 goals for Liverpool this season.