And former Liverpool defender Carragher would not be surprised to see Ronald Koeman's come out on top this weekend.
When asked if Everton could end their 18-year drought at Anfield, Carragher told Grand Old Team TV: "Why not?
Liverpool and Everton to battle it out at Anfield
"Everton are flying. They're doing really well. They've got a good side. You've seen other teams come to Anfield and win."
Carragher also hopes Everton's new era under Iranian billionaire Farhad Moshiri will see the Merseyside rivalry match the competition of Manchester United and Manchester City.
The Toffees are currently planning to build a 50,000 capacity stadium at Bramley Moore Dock, which could be ready for 2022.
Jamie Carragher would not be surprised if Everton beat Liverpool at Anfield
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Mon, March 27, 2017
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Carragger added: "I want Everton to do all right. I think it'd be great if Everton had a new stadium. I think it'd be great for the city.
"I want them to be up there challenging but I always want Liverpool to be above them.
"You see Manchester has City and United? I want that to be our city."