Hoilett has rejected a new contract at Ewood Park following Rovers' relegation from the Premier League and Sky Sports understands he has agreed a deal with QPR.
Borussia Monchengladbach were also among the clubs interested in signing the Canada international, but Hoilett has opted to stay in England.
Rovers will be entitled to compensation for the 22-year-old and reports have claimed the Championship club are demanding £6million for the forward.
There has also been speculation that Kean would be prepared to accept QPR striker Jamie Mackie in part exchange, but the Rovers boss is still expecting a 'chunky' fee for Hoilett.
"QPR might make us an offer, if not it might go to a tribunal," said Kean in the Daily Mirror.
"Manchester City got a chunky figure when Daniel Sturridge went to Chelsea.
"We've had Junior a long time and developed him and put a lot of time and effort in."