Roberto Firmino has been linked with Juventus this summer.
The Liverpool forward is expected to go further down the pecking order following the arrival of Darwin Nunez this summer.
He has registered 98 goals and 74 assists in 328 appearances for the Reds.
There has been a lot of conjecture about his future but Carragher believes Liverpool should keep hold of the Brazilian this summer.
He told Sky Sports: “I don’t think it’s a risk losing him for nothing. I have felt for a couple of years now that Firmino would see this contract out and move on for nothing.
“I think getting £19 million or keeping Firmino next season, I would probably keep him. The situation Liverpool find themselves in, they don’t want to be caught short.
“I think Firmino will have a big role. Listen, (Darwin) Nunez might take time to settle and he is playing in the Premier League. And that’s not just about his ability, it’s about coming to a different league.
“So, I think Firmino could be really important this season and I think he might actually start the first few games of the season and I can imagine Nunez coming off the bench.”
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