Betting has been suspended on Ange Postecoglou making the move to Tottenham from Celtic.
The current Parkhead boss is reportedly a preferred candidate for Spurs with a formal approach widely expected after the Scottish Cup final.
Celtic take on Inverness at Hampden on Saturday with a shot at sealing a historic eighth domestic treble.
However, it's reported it could be Postecoglou's final match in charge at Celtic with Tottenham keen on his services.
And reports on Thursday suggested Celtic chiefs have even kick-started a search for a new manager amid the speculation over an exit for Postecoglou.
Now, Betfair have made David Moyes favourite for the Celtic job, priced at 10/3 to succeed Postecoglou in the Parkhead dugout should he move on.
Scotland manager Steve Clarke features next on the listing at 4/1 for a return to club management.
Further back in the runnings is Graham Potter - recently sacked by Chelsea - at 11/2 with former Celtic captain Scott Brown 7/1 for a shot at the top job.
Manchester City assistant Enzo Maresca is 15/2 with ex-Celtic boss Brendan Rodgers at 9/1 for a return. Bodo/Glimt manager Kjetil Knudsen is also at 9/1.
Neil Lennon is priced at 14/1 for another stint as Celtic boss with wildcard Jose Mourinho at 50/1 for the role - after leading Roma to the Europa League final where they were beaten on penalties.
Betfair spokesperson Sam Rosbottom said: “Celtic are preparing to lose Ange Postecoglou after two years in the dugout after betting was suspended on the Aussie heading to Tottenham.
"David Moyes is the 10/3 favourite to be the next permanent figure in the Celtic hot seat with Scotland national team boss Steve Clarke next in the betting at 4/1.
“A return for former club captain Scott Brown follows behind at 7/1, while Brendan Rodgers is 9/1 and Neil Lennon 14/1.”
Next Celtic manager odds latest
David Moyes 10/3
Steve Clarke 4/1
Graham Potter 11/2
Scott Brown 7/1
Enzo Maresca 15/2
Brendan Rodgers, Kjetil Knudsen 9/1
Neil Lennon 14/1
Jose Mourinho, Steven Gerrard 50/1