Carragher played with Coutinho last season before hanging up the boots.
Murphy told talkSPORT after Liverpool's thrilling 1-0 win over Stoke on Saturday: "I spoke to Jamie a couple of weeks ago and I know he thinks the world of Coutinho, in terms of his potential.
"Coutinho's end-product was what impressed me [against Stoke]. He got in the right positions, his passes were correct, he made the right choices and he threatened the goal.
"He could actually have scored a couple himself. He put one just past the post."
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