The 35-year-old, who announced in February that he would retire at the end of this season, insists that calls for him to move into management may be premature.
"If you'd asked me at the start of my career, I would have said I was going to be a manager," Carragher told The Telegraph. "I may still be in future, but there seemed to be an expectation it was a natural progression for me.
"I'd read all the interviews with other players mentioning how much I love playing, watching, reading and talking about it and it seemed to make people just presume it would happen.
"It's not an easy thing to get into even if you want it. I always thought just because I love football, it doesn't necessarily mean I'm desperate to manage."
Carragher will join Sky Sports as a pundit for the 2013-14 season.