Blackburn are bottom of the Premier League table and Kean has been the subject of ferocious abuse from supporters, some of whom are boycotting the FA Cup third-round tie against Newcastle in protest.
Savage maintains Kean is not the right man for the job but he believes Venky's would have sacked him after the home defeat to Bolton if they were going to make a change.
"I still don't believe Steve Kean is the right man for Blackburn. You have got to judge him by results and they haven't been good enough, they are bottom of the Premier League," said ESPN football analyst Savage, who will be working with the broadcaster as part of their FA Cup third-round coverage this weekend.
"I am amazed he is still there. I think if he was going to get sacked they would have sacked him by now. The Bolton game was probably the all-time low as a Blackburn fan.
"If you are not going to get sacked then, I don't think they will sack him.
"The owners don't go to the games. I think they have got their perfect man in charge of the football club, he is not going to really argue with them.
"Who would want to take the job now?"
Savage may not believe in Kean's managerial ability but he respects the man's dignified reaction to the torrent of criticism he has faced.
"I felt sorry for him, to be honest," Savage said. "The way he was treated by the fans was a joke. Steve Kean has been really dignified and it was probably two fingers up to everyone with that (3-2) win at Old Trafford (on New Year's Eve).
"But they lost to Stoke. Saturday is a huge game for him. The FA Cup is a massive part of Blackburn's season this year."
ESPN football analyst Savage was speaking ahead of the sports media company's live and exclusive coverage of three FA Cup third-round matches this weekend: Birmingham v Wolves (12pm Saturday January 7), Bristol Rovers v Aston Villa (4.30pm Saturday January 7) and Arsenal v Leeds (7pm Monday January 9).
