A 2-1 home defeat to West Brom at the weekend caused anger amongst Rovers supporters, and sees the Ewood Park team in 19th place with only 10 points from 16 games.
The Daily Mail stipulate that former Blackburn striker Shearer is The Venky Group’s preferred replacement, with Kean expected to be shown the door this week.
Despite the continued rumours surrounding the Scottish coach’s future however, Kean is remaining defiant and will not quit.
“I don’t need to switch off and I don’t feel the need to run away from anything,” Kean stated.
“I have had massive support from a lot of people because they know what a young side we are. It’s different if you have a very experienced team in a situation we are in, but we have eight or nine players under 23.
“I need to get points, though, and I’m under no illusion my job is based on being in a much better position than we are now.
“I’ll make sure I prepare the team right for Bolton on Tuesday because, if it wasn’t a big match before, it’s massive now.
“I’ve never felt I can’t win the fans round. I always feel we are about to go on an unbeaten run,” he concluded.
Blackburn take on Bolton in a relegation six-pointer on Tuesday, and failure to win would surely end Kean’s time at the club.
By Gareth McKnight