The 22-year-old has left Ewood Park after his contract expired, but Kean remains confident he will return.
"Junior is out of contract and we've made him a very good offer," Kean told BBC Radio Lancashire. "It's not dead yet.
"If a club in this country signs him, there will be big compensation. We'd like him still to be here but I'm in the dark a little bit."
He added: "When a player runs out of contract, you make him a good offer and he doesn't sign, you fear the worst, but we'll just have to wait and see."
Hoilett hit seven goals in 37 appearances for Rovers last season as the club finished 19th in the Premier League.
The Canadian star has been linked with Newcastle United, Sunderland and QPR, while there is also believed to be interest from abroad, including German side Borussia Monchengladbach.
Meanwhile, Blackburn assistant chief scout Kevin Cruickshank is leaving the club to join QPR.
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Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!