The 22-year-old has left Ewood Park, his contract has expired and he can join another club, but Kean hopes that the player will be back.
Newcastle, Sunderland and Queens Park Rangers are the clubs that have been linked with doing a deal for the player as well as interest from overseas.
Speaking to Radio Lancashire Kean said: "Junior is out of contract and we've made him a very good offer, 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."