The Reds have not been English champions since 1990, when Kenny Dalglish was in charge during his first managerial stint at Anfield.
Liverpool's auspicious start suffered a setback on Saturday when they lost 2-0 at League leaders Arsenal, but Suárez believes it is fated the club will end their 24-year drought.
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Suárez has scored six goals so far this season
"In the team we are all really excited, and looking forward to a good season," he told Uruguay radio station Sport 890. "We have been at the top so far, and we are still aiming at the top - we still have momentum and we can believe that the top spot is marked for us.
"We believe in the team and we believe we can have a really good season - an exciting season."
Suárez stops the ball with the hands during the extra-time of Uruguay's 2010 World Cup quarter-final match with Ghana... (credit:Getty Images)
(02 of18)
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He is shown a red card after his handball by referee Olegario Benquerenca, but Asamoah Gyan misses the spot-kick... (credit:PA)
(03 of18)
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And Uruguay go on to win on penalties as Suárez is demonised by the Ghanians (credit:Getty Images)
Dutch Eredivisie - Bite incident Luis Suarez(04 of18)
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Suárez was not sent off for biting PSV Eindhoven midfielder Otman Bakkal's shoulder while Ajax captain in November 2011... (credit:Getty Images)
(05 of18)
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But he did receive a seven-match ban (credit:Getty Images)
(06 of18)
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An early glimpse of Suárez's nature came in March 2011 when, after a Rafael da Silva tackle on Lucas Leiva, he slyly tugged the Brazilian's hair in a bid to wind him up (credit:Getty Images)
(07 of18)
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Suárez feigns agony as Jack Rodwell is erroneously sent off by Martin Atkinson in the October 2011 Merseyside derby. Liverpool win the game 2-0 and Suárez scores. (credit:PA)
(08 of18)
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Later in October, a foul by Suárez on Patrice Evra sparks off his most infamous misdemeanour... (credit:Getty Images)
(09 of18)
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When he racially abuses Evra, calling him a "negro" eight times... (credit:Getty Images)
(10 of18)
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Suárez is fined £40,000 and banned for eight matches (credit:Getty Images)
(11 of18)
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Suárez is suspended for one game for making an offensive gesture to Fulham fans in December 2011.
(12 of18)
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On his first start since his ban for racially abusing Evra, Suárez refuses to shake his hand in February 2012 (credit:PA)
(13 of18)
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Suárez executes a pathetic dive in a 0-0 draw against Stoke in October 2012. He later admits to cheating (credit:AP)
(14 of18)
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Bemusing irony as Suárez opts for a diving celebration in front of Everton manager David Moyes, who accused the Uruguayan of simulation after the Stoke tumble (credit:PA)
(15 of18)
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Suárez is fortunate not to be red-carded after he rakes his studs down Sylvain Distin's heel in the same game. Everton fans enjoy poetic justice when he scores a late header which is wrongly disallowed for offside (credit:PA)
(16 of18)
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Suárez controls the ball with his hand at Mansfield Town to score Liverpool's winner in the third-round of the FA Cup, January 2013 (credit:AP)
(17 of18)
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Chewy Suárez: A shocked Branislav Ivanović reels from being bitten by the controversial striker (credit:Getty Images)
(18 of18)
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Giorgio Chiellini shows off the bite mark from where Suárez bit him. (credit:Getty Images)