The former Reds defender believes anything less would not be a 'failure' - but would have left him disappointed in his playing days.
"@paintbox_ no it's not failure but one without the other used to leave me disappointed.— Jamie Carragher (@Carra23) August 9, 2014
Liverpool's pre-season preparations have given supporters much to be optimistic about ahead of the new campaign, although a 3-1 defeat to Manchester United in the International Champions Cup final soured proceedings just a little.
The Reds will now host Borussia Dortmund on Sunday, before opening their Premier League campaign against Southampton - also at Anfield - the following week.
Liverpool have bought three Saints players so far this summer in Rickie Lambert, Adam Lallana and Dejan Lovren.
Would a trophy and a top-four finish be good enough for Liverpool this season?