Leeds sacked Bielsa towards the end of last month and brought in Jesse Marsch to arrest the slide down the Premier League table.
But the American has lost both of his two league games as Leeds manager, including a massively disappointing performance against Aston Villa in their 3-0 defeat at Elland Road on Thursday night.
Leeds’ Premier League survival is hanging by a thread and Kilgallon stressed that the club would have definitely avoided relegation if they had kept Bielsa until the end of the season.
He stressed that the club might have lost a few more games, but the understanding between the Argentine and the players would have taken the Whites over the line and feels Bielsa would have left at the end of the season anyway.
The former White said on BBC Radio Leeds after the loss against Aston Villa: “I think with Bielsa they stay up.
“The results were bad before and there probably might have been a few other bad results, but I just think with him there and the lads knowing what he does when they train.
“You are used to it and say right just for these ten games let’s do it.
“I think it was pretty obvious that he probably would be going in the summer so just keep him there and let him have his send-off as well.”
Leeds have lost five of their last six league games and are sitting 16 in the Premier League standings.
