With his current contract expiring at the end of the season, the 34-year-old has conceded that he is unsure of his immediate future.
The defender, who has made 716 appearances for the Merseyside club, has insisted that he would not consider playing for a different club.
"There is a chance that I will retire at the end of the season," Carragher told the Daily Express.
"It is the last season of my contract and the club have not said anything to me yet.
"I am open-minded, but I would not play on if I was killing the team when I played. I would not be hanging on for money or anything.
"And I would not go anywhere else. It is Liverpool or nothing for me."
Carragher has gained 38 international caps for England, with his last coming in South Africa during the 2010 World Cup.
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