Rush roomed with Laudrup when they played together for Juventus.
"He never struck me as a big student of the game but I have great memories of him," said Liverpool ambassador Rush.
"He helped me so much when I was at Juventus, he was a big plus for me when I roomed with him.
"He was there for me with all the off-the-field things. On the pitch looks after itself, but away from it, which is just as important, he was great for me."
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