Former Celtic striker Tony Cascarino has told The Irish Sun that the Bhoys would be a good team for Roy Keane to manage - but feels it may be a step lower than Keane wants to go.
Celtic have had a mixed season so far, with a steady if unspectacular run of results so far in the Scottish Premiership, and Ronny Deila is thoroughly expected to win the title yet again this season.
However, Celtic's performances in Europe have left a lot to be desired. An exit from the Champions League against Malmo piled the pressure on Norwegian boss Deila, and the heat has been cranked up on him due to Celtic's dismal performances in the Europa League too.
It's no longer enough to just win the Scottish Premiership anymore, and fans are expecting success in Europe too - and some fans believe that the Bhoys should at least be considering a move to replace Deila, even if that looks unlikely right now.
Now though, former Celtic striker Tony Cascarino has looked to what's next at Celtic after Deila, and brought up the name of Roy Keane once again.
The Irishman finished his career with Celtic back in 2006, and claims he was offered the job at Celtic Park before Deila's appointment in 2014, as quoted here by BBC Sport.
Currently working alongside ex-Celtic boss Martin O'Neill with the Republic of Ireland, many expect Keane to pursue a managerial career of his own again, having been out of the spotlight since his departure from Ipswich Town in 2011.
Cascarino has told The Irish Sun that whilst he thinks Keane would be a good fit at Celtic, the Bhoys maybe aren't at the level the 44-year-old is looking for - and cited the career paths of previous Bhoys managers to illustrate his point that Keane should wait for the Ireland job to become available.
"Of course, there will be offers," said Cascarino. "Celtic offered him the job before Ronny Deila and there are some clubs that will be attracted by the showbiz of what Keaney can bring. But the truth is, does Roy want one of those jobs? He wants a good club where he can show he is a good manager, not a soap opera. Celtic might be a good fit for him because he would win quite a few trophies in Scotland but I would also argue they are a level below what he wants."
"Look at Neil Lennon. He did a fine job at Celtic and got the Bolton job. Gordon Strachan got Middlesbrough afterwards. The last manager to leave Celtic and get a Premier League post? Martin O’Neill, who took over at Aston Villa after a year out. But he had to reach the Uefa Cup final to convince a half-decent club to go for him and he also had Leicester City on his CV. And that is what makes me think that maybe Roy’s best bet is waiting for the Ireland job," he added.
It's important to note that there is no opening at Celtic right now, with Deila still being backed by the Celtic board having won the Scottish Premiership title just six months ago.
Yet with doubts creeping in amongst certain sections of the Celtic fanbase, it's interesting to wonder who could be the next Bhoys boss - and whilst fans may love for David Moyes to make his return to Celtic, Keane may end up being a name in the frame once again, whenever the club do look for a new manager.