The former defender believes the Liverpool forward will have a successful career, but must first learn from his mistakes.
The youngster scored a brilliant opener in Monday night’s 2-0 win over Newcastle and has been one of Liverpool’s top performers this season as they look to qualify for the Champions League.
However, he has suffered from several off the pitch incidents, with the latest involving him reportedly filming taking nitrous oxide, according to Sky.
Carragher though, says he will have a great career but must learn his lessons.
“I think he’s going to have a long and successful career,” he said.
“We’ve seen signs of that with Liverpool and England. [However] Raheem Sterling needs to be on the back pages, not the front pages. You make mistakes at that age, I did, and we all do. It’s just important that we learn from them.”
The former defender has also offered Sterling some advice on how to win back the Liverpool faithful who are seemingly growing frustrated at the player's refusal to extend his current deal at Anfield.
The winger recently revealed to the BBC that he had turned down a £100,000-a-week deal at the club, who are keen to sign him to a new deal. That has led to increased speculation about his future, with talk of potential moves to a number of clubs around Europe.
Carragher though, says simply getting his head down and proving how good he really is will soon have the Anfield crowd back on his side.
“Don’t tell people how good you are, show them,” he added.
“On the pitch, show people what you’re about and then people have more sympathy for you. We’ve got to start talking about Raheem Sterling as a footballer.”