The incident was videoed by Blackburn fans during the Lancashire club’s pre-season tour of the Far East, with the clip showing Kean making inflammatory remarks over Allardyce’s integrity, operating methods and ability as a manager.
The Telegraph state that the Upton Park supremo has alerted his lawyers, who will look into the footage and potentially take action against Kean.
The under-fire Scot is set to meet with Rovers’ owners Venkys in Pune in coming days to discuss his future, amid the club’s relegation from the Premier League this term.
Kean has maintained that his job at Blackburn is safe, but this has yet to be confirmed by the club’s Indian owners.
By Gareth McKnight