The 34-year-old Anfield legend believes the 19-year-old defender can star for the Merseysiders for years to come, and says his club have a host of youngsters ready to step up
The 19-year-old defender has started to feature in the first team for Liverpool this season along with the likes of Suso and Raheem Sterling, and looks set to play against Swansea in the Capital One Cup on Wednesday.
And Carragher - who is also in line for an appearance - thinks Wisdom and his young team-mates can become regulars for the side if they work hard and continue to show belief in themselves.
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"When you are Andre's age, you look after yourself. If you don't do well when you get a chance as a young lad, you might not get another. But Andre has been excellent. He is a Liverpool player. He can pass the ball," Carragher told the Daily Mail.
"All the kids who have come in during the last 18 months have been the same. Jack Robinson, Jon Flanagan, Raheem Sterling, Suso and Andre - they have all done really well. I'm sure there will be others too.
"It's good for them to be nervous. It shows they care. If I play against Swansea, I'll be a little bit nervous as I want to do well. You should have belief in yourself but you need that edge. It keeps you on your toes. Obviously if the nerves go too far, it shows they are not up to it. But Andre has shown that he can."
Carragher is looking to the Capital One Cup match against Swansea as a chance to get game time, acknowledging that he is no longer guaranteed games at Anfield.
He added: "I look at [the Swansea game] and the Europa League as a chance to get games. This is something to focus on for me, as I know I'm not a Premier League regular any longer."
Wisdom spoke of his delight at being tutored on the job by Carragher, explaining that it is a big step from going from low-key reserve games to the pressures of the Premier League, adding: "It is always good to play alongside experienced players. 'Carra' never stops talking. You need that in the game.
"It is different when you are playing in big games in front of big crowds. If you get 50 people for reserve games, you are lucky. It is very nerve-wracking when you are playing for Liverpool."