Everton insist they are in no rush to find a "worthy successor" to David Moyes after Manchester United confirmed the Scot will be their new manager next season.
Moyes will remain at Goodison Park for Sunday's visit of West Ham and the trip to Chelsea on the final day of the season.
That gives the Toffees almost an additional fortnight in their search for a replacement as it was expected Moyes would leave when his contract ran out at the end of the campaign.
Chairman Bill Kenwright said it was vitally important they recruited someone "equally significant" after 11 years with Moyes at the helm.
Early front-runners for the job are Wigan's Roberto Martinez, Celtic's Neil Lennon, Vitor Pereira, whose contract at Porto expires in the summer, and Swansea's Michael Laudrup.
Former Wales manager Mark Hughes, soon-to-be-leaving Everton captain Phil Neville and newly-promoted Cardiff boss Malky Mackay appear outside bets.
Hughes' stock has fallen after he was sacked by QPR in November, Neville wants to extend his playing career and has no managerial experience while Mackay is untested at Premier League level.
And while the club expect to move quickly, the feeling within Goodison Park is there is no need to rush the appointment as the Everton vacancy will be regarded as one of the best in Europe with very few of the continent's 'serious' clubs having positions available.
"We've had a good 11-year adventure with David and it is my job and the club's job to get a worthy successor and build on what David has brought," said Kenwright.
"We will be out there finding the right man for this football club."