Centre-back Agger struggled to hold on to a regular starting role at Anfield this season and was left on the substitutes' bench for the crucial Premier League fixtures against Manchester City and Chelsea last month.
Quoted by Ekstra Bladet in his native Denmark, Agger has now admitted that he does not appear to be rated highly enough by boss Brendan Rodgers and stressed that he does not want to be considered as just a back-up option.
However, he says he is not considering his future at the current time and wants to focus on international duty before having a summer break.
Asked how it felt to miss out on the games against Chelsea and City, Agger is quoted as saying: "It definitely wasn't great. But I don't make the decisions. I think it is because the manager doesn't think that I'm good enough."
Questioned on whether he would be at Liverpool next season, Agger added: "I don't know. That's up to the manager. I can't go and put myself on the team sheet."
Agger started 16 Premier League games last season and made substitute appearances in four more fixtures.
Asked if he could live with being third choice in the Liverpool hierarchy, the 29-year-old said: "No, I'm no one's third choice.
"I'm not thinking about my future. Now my focus is on the next international games with Denmark and then I'm looking forward to a long five-week holiday.
"My body and my mind needs to relax."
Agger joined Liverpool from Brondby in January 2006 in a £6million deal. He signed a long-term contract extension at the club in October 2012.
@wotyomamased - even if that's true, what about Kolo Toure? If Agger had been fit for some of the games Toure played in, I'd be confident of the extra points. In fact if he'd been fit just for West Brom-Liverpool at the Hawthorns, that would have been enough: if we hadn't conceded Kolo's giveaway goal and had taken three points from that match, we'd have won the league. Yes, I know those two points alone wouldn't have won us the league, but if we'd had them, we wouldn't have been trying to chase goal difference against Palace while 3-0 up and would have just closed down the game instead. Lots of ifs.... that's one of them- heighwayman