Frank McAvennie expects the new Celtic manager to be announced in the next seven days.
The former Hoops hitman, speaking exclusively to Football Insider, insists the club have to announce something in the near future.
Celtic have been searching for a new manager since Neil Lennon resigned at the end of February.
Last week, the Hoops released a statement in which they confirmed the hunt for a new boss was ongoing.
As revealed by Football Insider last month, the door is open for Celtic to appoint Eddie Howe after Crystal Palace made Sean Dyche their number one choice to replace Roy Hodgson.
Earlier this year, Howe reached a verbal agreement with Celtic before having second thoughts about taking over at Parkhead.
Celtic are due to play their final game of the season on Saturday.
McAvennie, who is well connected at his former club and lives in Glasgow, is expecting an announcement from Celtic in the next seven days as the season wraps up.
“They have got to do something this week,” McAvennie told Football Insider correspondent Ben Wild.
“The season finishes on Saturday, I would expect someone to say something after that.
“I haven’t heard anything specific but it’s what I’m expecting. Not so much straight after the game but by the start of next week.
“Celtic fans could start to hear that too. The club has season tickets to sell.”
The Bhoys are next in action against St Johnstone on Wednesday night.
Their final game of the season takes place on Saturday as a trip to Easter Road faces John Kennedy’s side.