Nuno Espirito Santo is firm favourite to land the Everton job, although David Moyes has emerged as a genuine candidate to return to Goodison Park.
Moyes had 11 years at Everton before leaving for Manchester United in 2013, and he still has some supporters at the club - including chairman Bill Kenwright.
The Scotsman still has 12-months on his contract at West Ham and he has agreed terms on a new deal, although Everton now appearing on the horizon has complicated matters.
However, we are told there is no release clause in Moyes' current deal, and with West Ham not looking to lose him, it seems Nuno is in pole position and talks are ongoing with the former Wolves man - who left Molineux at the end of the season.
Understandably Bookmakers are very sweet on Nuno, and he is currently very much at the head of Toffees market.
"With the media reporting that Everton are in talks with former Wolves boss Nuno Espirito Santo and he is now even money from 2-1 to be next in the hot seat at Goodison Park," Michael Triffitt, Head of Ante Post Football at BetVictor, exclusively told Planet Sport.
"Former Toffees gaffer David Moyes enjoyed an excellent season with West Ham and has been supported from 25-1 into 12-1, and now 7/1 for a dramatic return to Merseyside.
"The jury is out as to whether fans would like him back and maybe Nuno looks a more appealing capture after his great work at Molineux.
"Punters often clamber to back managers who are referred to as 'in talks' with clubs but over the years many have proved false dawns and this vacancy may still have plenty of life with Eddie Howe and Rafa Benitez both popular and still in single figures."
Everton manager market - odds from BetVictor
Nuno Espirito Santo - Evens
Eddie Howe - 3/1
Rafa Benitez - 5/1
David Moyes - 7/1
Graham Potter - 12/1