The 17 year-old midfielder has Manchester United, Manchester City, Chelsea and Real Madrid among clubs scouting him.
Despite his youth, Nypan has already managed to record five goals and four assists in 30 games for RBK.
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RBK sports chief Mikael Dorsin told TV 2: "It's exciting. There is a lot of interest and talk when you deliver at such a high level at such a young age.
"He always arouses interest from big clubs. Then it can go quickly, but we are not stressed."
The big question seems to be how long RBK can keep the 17-year-old.
"That is a good question. Sverre himself has a big influence on how long it will be," says t coach Alfred Johansson.
"Where he is right now, he has extremely great potential. Nobody really knows what the maximum height is for Sverre Nypan. The only thing we can say is that it is probably quite high."