Not since the 2008/09 campaign, when Rafa Benitez was in charge at Anfield, have the Reds been realistic contenders to be kings of England.
Denmark defender Agger is one of the few players from that squad still on the playing staff under Brendan Rodgers, whose troops lie in second place, seven points behind leaders Chelsea but with a game in hand.
Next up for Liverpool is a Super Sunday showdown with Manchester United at Old Trafford, which kicks off at 1.30pm and is live on Sky Sports 1HD.
The Reds will travel to Manchester without fear having won six and drawn four of their 14 games on the road, scoring a league-high 31 away goals.
And Agger insists his team-mates can handle the heat of trying to keep pace with Jose Mourinho's Blues, while also keeping fellow challengers Arsenal and Manchester City at bay.
"When you play for Liverpool Football Club, there is always pressure and that won't change between now and the end of the season," Agger told the Liverpool Echo.
"Part of playing for this club is being able to handle that pressure. I think the players here have proved over the course of this season that they are more than capable of doing that.
"We have had some great results and there have been a few times when we have been all the way up there at the top.
"It's always difficult to compare squads and teams. This is a completely different team to the one in 2009. There aren't many players left from that side.
"We are in a good position but we are only in March. There is still a long way to go and a lot of points to play for.
"We haven't achieved anything yet and we need to keep going over the final 10 games. We have some big games against teams close to us in the table. They are games we have to win."
Agger welcomed the clean sheet attained in the impressive 3-0 win at Southampton - and insists keeping things tight at the back is key as with Luis Suarez and Daniel Sturridge, scoring goals is not a problem.
"That was a big win for us and every time we get a result like that we are a step closer," added Agger.
"In the past we have struggled against Southampton and the game at St Mary's was really tough last season.
"This time we were clever and that was what got us the three points. If you want to be near the top, you need to be clever.
"I don't know if we needed to send out a message, we just needed to do it for ourselves. We know we are a good team.
"To go there, score three goals and keep a clean sheet was a big thing for us.
"I think we know we have goals in this team. With those two up front anything can happen. Defending well is so important as we know we can always score."