The likes of Manchester City, Manchester United, Chelsea and Real Madrid are all said to be keeping a close eye on the teenager, who has turned into one of the most sought after players in world football.
Carragher told TalkSPORT: "Well I've seen the links, of course, but I just hope they're true. No one knows, do they? But there's no doubt that Liverpool will have a huge job in the summer, or whether that's in January, in terms of reconstructing their midfield.
"Just because of the age profile of a lot of the midfield players and also the fact that I think there's two or three players out of contract at the end of the season. So before you ever even think about the actual quality of maybe something extra that they need, it's obvious because of the situation the club finds itself in that they'll need two or three midfield players in the summer.
"And if Jude Bellingham is one of them, fantastic, because he is a great player. And as I said, there's going to be a lot of rumours between now and the end of the season with different midfield players. I just hope that one's true."