The Republic of Ireland assistant is one of a number of names that has been linked with taking over from Ronny Deila at Parkhead. And while the retired midfielder's managerial record is not as impressive as his playing career, Bonner suggested that he has the ability to spark the change that is required in the Bhoys' dressing room, much like Souness did at Ibrox.
"Some of the vibes from this [Celtic] dressing room is that they need someone who is strong, who will rattle up the dressing room but he needs to take the players with him," he told the Evening Times.
"You can't just go in there with that autocratic way, it works for a period but then you have to change it.
"I think Souness was that kind of guy at Rangers and then they needed a Walter Smith, arm around them type.
"If Roy comes in, he'll give you that first bit but it depends how he adapts after that when he gets his own players in."
Like Keane, Souness went into management off the back of a sensational playing career. And while the Irishman has got managerial experience under his belt while Souness' six-year spell with the Gers was his first time in the dugout, the fact that Keane has not been a number one since leaving Ipswich in 2011 means that his reputation from a management perspective is similar to what the Scotsman's was in 1986.
Nevertheless, the fact that Souness was able to win three Scottish Premiership titles and four Scottish Cups during his tenure proves that appointing a manager with a mentality that will benefit the squad rather than one with an extensive track record can work out extremely well.
And with Keane having an understanding of what the expectations are at Celtic, and arguably not having to do too much initially to keep them at the summit of the Scottish game, he may be able to instil that winning mentality that will help take them to the next level.