After victory at Fulham, Carragher was quizzed on whether the Reds can take that momentum into 2011-12 and challenge for honours.
He replied: "I've been here a long time and get that question every year. As I said, I just want to enjoy the moment. We're playing well and winning.
"Next season is a fresh, clean slate for everyone and we start again.
"Hopefully we can take this form and confidence into next season, but I don't think anyone at Liverpool will start making silly boasts or put expectations on ourselves.
"We just want to keep winning and enjoying our football."