Despite the increasing threat of the club's first relegation from the top flight in 71 years, the hierarchy of the club don't believe the dismissal of Frank Lampard will improve their chances of staying in the top flight.
It's not a given that they will stick with Lampard until the end of the season.
Sky Sports News has been told that there is real concern about the situation at board level, with the club having lost six of their last seven games.
Sky Sports News has been told that there are no plans for Sam Allardyce to return.
It is thought that other managerial options have been sounded out, should the board decide to make a change.
Sky Sports News understands that if the club were to be demoted, they would find themselves in a lot of financial trouble, with very few members of the first-team squad on contracts that automatically reduce if the club is in the Championship.
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It is likely that a complete remake of the squad is inevitable.
The third successive year of deficits in excess of 100m was revealed last month.
Their accounts took a big hit when the EU and UK imposed sanctions on Alisher Usmanov, one of the club's key sponsors.
That shows how much the club depends on the cash injected by owner Farhad Moshiri.
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Sky Sports spoke to a former defender.
It was a huge game and gave the players a boost. Time will tell how damaging it is. I said before the match that it was a must-win game.
They found a way to lose the game after getting themselves in a good position.
Getting on a run of losing is the same as getting on a winning run. You don't think about it, but when you lose, you start to doubt yourself more and make the wrong decisions.
That is whatEverton have found themselves in. It tells you everything you need to know about the state of the team when the opposition manager says at half-time that they don't know how to win away from home.
They had chances to win the game, but they have done this many times this season where they have not been able to see out games and their defense has been poor.
It is difficult to say where the points are going to come from as a fan of the club. It wouldn't surprise me if they got a result at home against Manchester United on Saturday, as they have done in the past.
I am not very hopeful. You start to wonder if it's going to be easy to play at home and away. It's amazing to digest thatEverton is in this position at this time of the season.
There are a few fans who say Frank Lampard has got a few decisions wrong, but these are the same players who have been with the managers before him. It is not about getting rid of Frank.
It is about the players trying to do whatever is necessary to get a result and get the club out of the mess they are in. There is so much wrong atEverton right now that there is no excuse for the managers to not do their job.
The players have to find the desire and spirit to keep them in the league. It is very close to the end of the world. This is the most fearful I have ever been as a fan.
April 9 is Man Utd.
Sky Sports will broadcast the live event on April 20.
Sky Sports has a live broadcast of the Reds on April 24.
Sky Sports broadcasts live on May 1.
May 7th -Leicester.
May 10 -Watford.
May 15th - Brentford.
May 19 - Crystal Palace.
May 22 is the date of the football game between the Arsenal and the Manchester United.