Talks over new deals with the pair are ongoing.
Kean said: “When you see the way David (Dunn) plays and what Blackburn means to him, we’d certainly like to keep him.
“One of the directors has been speaking to his representatives and hopefully that will get sorted out.
“With Junior, it’s ongoing. We feel we’ve put a good offer together and the directors have been dealing with this.
“I’ve just been trying to keep the player in the form he’s in.
“We want him to be part of what we’re trying to do here. It’s certainly not dead.”