He told LFC magazine: "I am hoping that the next three or four years will be very good for me. I hope people are right when they say you peak at 28 or 29.
"I often reflect on what I have achieved in the game. I think about it every day and just hope that all those highlights, the trophies, the goals, the great wins and matches, are not the end of it. I want more of those experiences and memories. They are the best things that have happened to me in football. The joy you get from them is unbelievable.
"So over the next five years or so I want to get more cups under my belt and I am desperate to try to win this league. I feel the squad is a lot stronger than last season. There are certainly a lot more match-winners here."
As for his approaching decade in the first team, Gerrard said: "I'm getting scared, the years are flying by.
"It has gone so quickly, and in November it will be 10 years since I broke into the first team. They say time flies when you are having fun, and it's true. Now I just want to make the most of the time I have got left playing football."