The former Arsenal captain is viewed as Xavi's success.
But Fabregas, 24, told Barcelona TV: "I think that Xavi still has some years left in him. He does things you wouldn't believe.
"I haven't come to retire Xavi. I came here to play with Xavi, to compete with Xavi, and to win with Xavi.
"What I'm saying about Xavi also goes for Andres [Iniesta] and Thiago. I think altogether we make a very good group. I know what we'll do. With the great group we are, we'll do great things together."
Fabregas also recognises he is still developing as a player and has arrived at the Camp Nou with a desire to learn.
"I'm very young and the best years of my football career are beginning now, and in the future," he said.
"I still have a lot to learn and hope to mature with Barca for many years to come."