The Denmark international was appointed as Gerrard's deputy at the start of August following the retirement of Jamie Carragher last season and admits his role hasn't changed too.
However, Agger insists he will keep getting better at being a leader by following the footsteps of the England captain.
"I always have responsibility, no matter if you're vice-captain or not. You have to always be there, always be at the front and, of course, try to help some of the young players," he told the club's official website.
"Now I have been here for almost eight years and Stevie has been the captain all the way. He is an amazing captain: he is the one I will look at.
"Not only in his football skills, because that speaks for itself, but the person he is and the way he treats people - he's just the best."
Agger added: "When I play for Denmark and I'm the captain for Denmark, I've learned a lot in the last 10 years of my career.
"I'm trying to take the best part of all the good things, also from Stevie, and put it together in the way I want to do it. I think that's the best way to describe that."