The Reds are currently down in seventh place in the table and are 12 points adrift of leaders Chelsea, having already lost five of their 15 league games this season.
Gerrard commented: "It's frustrating to be where we are in the league now because this was meant to be the year where we were going to be right up there all the way through.
"It would mean everything to win it. It's frustrating not to have it already and I've come close on a couple of occasions.
"I will continue to fight for the Premier League from now until I stop playing. Hopefully I can add it to my collection because it would round a fantastic career off.
"It would be extra special if I could do it as captain in the next couple of years. I'm not sure how long I'm going to be captain for - probably another two or three years.
"If not as captain, then hopefully I can still lift it as a Liverpool player. Now, though, it's important for us to try to get back up to the top of the table."
Source: DSG
