The Dutchman, formerly of Liverpool, could meet the Spaniard's Chelsea in Amsterdam on May 15 should both teams progress past Benfica and Basel respectively.
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"It would be very special to face Rafa in the final," Kuyt told The Daily Mirror.
"He signed me for Liverpool and has been a very big influence on my career. I will always be grateful to him for giving me the chance at Anfield.
"He means a lot to me. He is one of the best managers I have ever worked with and clearly one of the best in Europe. The things he wrote about me when he heard I was leaving Liverpool were very special and important to me.
"I will never forget that. I owe him a great deal but I would still love to beat him if we both make it to the final. I know from my experience with Liverpool that anything is possible.
"We've got a huge game in Benfica and it's hard to look beyond that but, like I say, if it did turn out that way it would be special."