The Hoops have endured a torrid campaign, and go into Sunday’s final Old Firm of the season 20 points adrift of newly-crowned champions Rangers.
Former Bournemouth manager Eddie Howe has been linked with a move to Parkhead for some time now, but as yet, nothing has been confirmed, and Sutton has expressed his hope that a deal has been wrapped up behind the scenes.
Writing in a column for the Daily Record, the ex-Bhoys forward said: “You have to hope they are just waiting to get the final games out of the way before announcing No.1 choice Eddie Howe as the new gaffer to give him a clean slate and that he is already working away on his plans and squad ideas for next season.
“I would not be in the slightest bit surprised if that is happening because, in all honesty, Celtic surely can’t still be fiddling around trying to sort out a new manager.
“Surely it’s all been done in the background and it’s now just all about the timing of the announcement. If it’s not and they really are still on a manhunt, they are in even bigger trouble than I thought.
“That’s really all that is dominating the minds of the punters right now and I don’t blame them.”
John Kennedy has been in charge at Parkhead since Neil Lennon parted company with the club earlier this season.