The Reds cannot win any silverware this season and their seventh-place position, nine points off the top four, all-but rules out Champions League qualification.
An extended absence from Europe's elite competition - Liverpool have not played in the Champions League since 2009-10 - causes further issues in relation to the recruitment and retention of players.
Striker Luis Suarez, the top-flight's leading scorer with 22, has given an interview in his native Uruguay in which he reportedly said if another club with better European prospects came calling he would talk to them.
That seems at odds with his continued insistence he is happy on Merseyside, but even though Juventus have been linked with a summer bid, Liverpool privately are confident of holding on to the 26-year-old, who signed an improved contract at the beginning of the season.
If Agger's prediction is right then Suarez's ambitions could be fulfilled at Anfield.
"It is a club that will have trophies, I think it goes without saying," said the centre-back.
"I believe it will come, of course. It will not be this year, because we are changing the style of play as we have not got the results we would have wanted but we have played well.
"There have been a few worries and it has something to do with stability and we must also have a bigger squad.
"These are the things we need to work towards next season. If we can keep the same level in more matches than we do this year it will look better for next season."