The striker, who signed a new contract on Friday, insists he wants to win a "big trophy" with the club, while Brendan Rodgers has backed the Uruguayan to break records
The Uruguayan has been in sensational form at the start of the 2013-14 campaign, scoring an incredible 19 goals in 12 league games, including two more in the 3-1 victory over Cardiff City on the weekend.
|5/1||Liverpool are 5/1 with BetVictor to win the Premier League title|
Asked whether he wants to win the Premier League, Suarez told LFC TV: "It's my dream; I hope to win the league and a big trophy with Liverpool."
Manager Brendan Rodgers, meanwhile, has backed Suarez to break the goalscoring record for a single season in England's top flight, with the current record of 34 held by Andy Cole (1993-94) and Alan Shearer (1994-95).
The Reds boss said: "He looks like he can score a hat-trick in every game, doesn't he? He can do, because he has got that quality. He will certainly push [the record] close.
"You can put him in that bracket of world class. I think one or two of his off-field antics have maybe detracted from his performance level, but you see a different man now.
"He is mature. You see he is happy, confident and at peace with everything in his life on and off the field. Luis is just a brilliant player, a joy to work with. He gives me everything, every day of his life."