Hoilett has been a consistent performer for the club, despite a continual relegation battle, and will be able to leave for a nominal fee come the summer.
Kean is therefore desperate to keep hold of one of his prized assets, and has revealed he sees no reason why new terms can be agreed.
"He's been playing with a spring in his step and he's back to the form that he had before the transfer window opened so we've not given up on that," Kean told the Lancashire Evening Telegraph.
"There's no reason why, moving forward, we can't agree something that we can get pen put to paper on at the appropriate time.
"I think what he's got to do is just forget about everything and just make sure he's playing and performing the way he is.
"We've not given up and if it gets to the end of the season and we are where we think we're going to be, there's no reason why Junior can't agree a contract with us."