The Netherlands international has been in fine form this season, and has recently been linked with Borussia Monchengladbach, Liverpool and Newcastle United.
"Luuk is an English style striker, made for English football. I am just desperate to keep him for one more year. But I realise that will be difficult," McClaren was quoted as saying by The Daily Mirror.
"Luuk is big, strong, brilliant in the air and scores goals so easily. He has every quality a top class striker needs to have for a big club."
However, Twente president Joop Munsterman has insisted that the Eredivisie side won't let go of the striker on the cheap.
"We have said that we won’t go lower than £12.1 million (€15m) as a transfer fee. We need a top price for a top player," Munsterman said.
"We want to keep Luuk. He is a vital player if we want to win the championship again next season and when we play in Europe."
The 21-year-old attacker has a contract with Twente that runs until the summer of 2014.