It leaves the Blues 16th in the Premier League table with just seven points from their opening seven matches.
The Merseysiders were booed off after the loss to Burnley - Jeff Hendrick's first half goal gave the Clarets their second away win of the campaign - and according to The Sun the Dutchman has been given just one game to save his job.
Moshiri blamed injuries, European exertions, mental and physical fatigue plus a tough fixture list for a run of form that has left Everton two points above the relegation zone.
As supporters have been pointing out on phone-ins and Twitter for weeks, however, strategy does not appear to be a Koeman strong point.
"Of course, we can play better on the ball, this situation is really disappointing". The fans all know the talent our players have which is why it is so bemusing they are performing so poorly.
During the off-season, the former Southampton manager parted with over £140m to reshape his squad following the sale of star-striker Romelu Lukaku, but has not since seen his big-spending bear fruit.
Pic: ReutersLIVERPOOL, ENGLAND: Everton manager Ronald Koeman shrugged off questions over his future and defended his players commitment despite his team suffering a 1-0 home defeat by Burnley in the Premier League on Sunday.
Speaking after the defeat against Burnley, Koeman said: "I have experience and if you win, your life and your day is different". It is not nice to get two weeks an worldwide break if you lose.
"I am disappointed", Klopp said, "frustrated". "But don't accept it, and sit back and wait". We go into every match wanting to get a result and I think that's showing.
"I can't complain about my players, they did everything. Maybe we could create more but it is not so easy against Burnley".
"I hope to have some positive news on Saturday - we need to make a decision about Michael Keane and Phil Jagielka whether they are available for Sunday, but they are doubtful".
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