Defender Jamie Carragher accepts Liverpool's best chance of silverware this season will come in cup competitions as they have too much ground to make up on the likes of title-contenders Chelsea and Manchester United.
The Reds slipped to their lowest Barclays Premier League finish - seventh - for a decade last season.
With increased pressure from big-spending Manchester City this campaign their priority has to be securing a place in the top four to get them back into the Champions League.
A championship title, which Carragher has never won in his 14-year professional career at Anfield, will probably have to wait.
"People have said 'You've done this and that for Liverpool' but we've not won a trophy for four years and that is annoying me a little bit," said the 32-year-old.
"I certainly don't want to go on another couple of years not winning one before I finish at Liverpool.
"I don't see any reason why we can't win a trophy this season or the next couple.
"The one I haven't won is the league but I suppose that will be very difficult this season going from seventh last season.
"But I see no reason why we can't have a good go and have a trip to Wembley."
