The former Preston North End manager has confirmed that he will hold talks with chairman Bill Kenwright later this season, but he continues to be characteristically ambiguous regarding his future on the blue half of Merseyside.
Moyes recently told the Guardian:
I will probably wait until we have got over January and see how things go. I want to see what we're going to do and where the club are looking to move to in the future. And that's what I'm really looking for as well.
It's probably going to be after the new year before we speak [with chairman Bill Kenwright].
His failure to sign a new deal–or verbally commit to the club–has left some supporters fearing that he will consider ending his decade-long reign at the end of the season.
So, with little or no money to spend in the January transfer window and Europe's top clubs supposedly circling his star man Marouane Fellaini, why should Moyes sign a new contract?
Here's five reasons why the Glaswegian should stick with the Toffees.
While the debate surrounding Moyes' best XI rages across the World Wide Web, there can be no denying that the current squad is the most talented he has ever possessed.
The likes of Phil Jagielka, Leighton Baines, Marouane Fellaini and Nikica Jelavic could grace the first team of most Premier League sides, while Steven Pienaar, Kevin Mirallas, Leon Osman and Johnny Heitinga would have no shortage of suitors if put up for sale.
The youthful exuberance of Seamus Coleman, Shane Duffy and Bryan Oviedo is complemented by the vast experience of Phil Neville, Sylvain Distin and Tony Hibbert.
And although the squad is still light on numbers, Moyes' first-choice team is a match for the best sides in the EPL–as proved by the 1-0 home victory over Manchester United.
After building and nurturing a squad with the skill and mentality to challenge towards the top of the league, Moyes would be unwise to walk away at a potentially pivotal moment in the club's history.
Away from his senior squad, Moyes has a wealth of young talent coming through the club's prolific academy system.
A mixture of local boys, promising youngsters picked up for nominal fees from Football League clubs and gifted foreigners plucked from all over Europe—it wouldn't be a surprise if the current crop produced 10 or more first-team players over the next five years.
Ross Barkley, who recently had a successful loan spell at Sheffield Wednesday, looks certain to force his way into the starting XI in the near future, while Shane Duffy and Apostolos Vellios have already stepped up when needed.
With the likes of exciting teenagers John Lundstram, George Green, Matthew Kennedy and Hallam Hope coming through the ranks, the future looks bright for Everton and Moyes.
On top of some very positive results at the start of the season, Moyes' current side are playing the most attractive football seen during his tenure at the club.
The likes of Mirallas, Pienaar and Baines have been scintillating, at times, this campaign, bombing forward with pace and skill in equal measure.
Midfield fulcrum Darron Gibson demands the ball from his defenders and starts attacks with short, accurate passes.
Fellaini has dispelled the myth that he's simply a big man who can head the ball, instead bringing his teammates into play with stylish touches and fancy flicks.
Jelavic, while out of form at the moment, remains a classy finisher capable of sweeping home the most difficult of chances with relative ease.
It all adds up to a team capable of playing some of the most eye-catching soccer in the EPL.
While many Evertonians question the suitability of Bill Kenwright as a modern Premier League chairman, few can question his judgement with regards to Moyes.
The theatre impresario took a chance on Moyes in 2002, luring him from then Championship side Preston North End.
The pair have developed a strong bond over the last 10 years, with Moyes consistently praising his relationship with Kenwright and the loyalty he's shown during less-than-successful seasons, most notably when the club finished 17th in 2003-04.
Although Moyes may find chairmen with far deeper pockets at other clubs, it seems highly unlikely that he'll ever strike-up a relationship with the respect and loyalty he currently enjoys with Kenwright.
Despite a run of just one win in their last nine Premier League matches, Everton remain well in the hunt for fourth place and another shot at the Champions League.
In-form Tottenham Hotspur currently occupy fourth spot, but Everton will take their place should they beat Andre Villas–Boas' side on Sunday and West Brom lose at Arsenal.
In recent seasons, the Blues have shown their best form after Christmas. And if they do the same again in 2013, then finishing in the top four is a tough, but achievable goal.
If Moyes was to sign a new contract early next year, it could well provide his squad with the added confidence and belief to force themselves into Europe's elite competition.