Despite defeats at Stoke and Tottenham, Kenny Dalglish's side have started the season relatively well with four wins from seven games, putting them fifth in the table going into the international break.
Up for the cup: Suarez, who scored in Liverpool's league win over rivals Everton, believes the Reds should forget about winning the title
But the Uruguay striker, who has fired in five goals from nine outings in all competitions so far this term, believes Liverpool will struggle to keep up the pace with title contenders Manchester United, Man City and Chelsea at the business end of the season and should put their attentions elsewhere.
'We have no limit and want to stay in the top four,' said Suarez. 'But winning the Premier League is now very difficult.
'The main reason why it is so difficult is because the two Manchesters and Chelsea are unreachable. But we can win the Cups.'
Home comforts: Luis Suarez jokes with his team-mates during a Uruguay training session in Montevideo
The Reds beat Exeter and Brighton to reach the fourth round of the Carling Cup but face a testing return to the Britannia Stadium against Stoke later this month.
Boss Dalglish will be keen to avoid an early exit after the club limped out of both domestic competitions last season and have not yet managed to reach a final at the new Wembley.
Top boss: Suarez has thanked Kenny Dalglish for helping him settle in the Premier League
Suarez, meanwhile, has thanked the Anfield manager for helping him settle in on Merseyside following his arrival from Ajax at the beginning of the year.
'I am liking the Premier League more than I could imagine,' he said.
'Dalglish tries to talk to me in Spanish and tries to help me. I appreciate that.'
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Source: Daily Mail
Source: Daily Mail