After narrowly avoiding relegation from the Premier League last season, despite two points deductions for breaching Profit and Sustainability Rules, Everton have since made a dismal start to the new campaign.
Dyche already finds himself under pressure as the Toffees sit rock bottom of the Premier League having lost their opening three matches to Brighton & Hove Albion, Tottenham Hotspur and Bournemouth, conceding 10 goals in the process.
Everton were seemingly on course to claim maximum points as they led 2-0 at home to Bournemouth last weekend heading into the 87th minute, but they capitulated in remarkable fashion and ended up losing 3-2, with the Cherries netting twice in stoppage time.
Dyche, out, Moyes in at Everton?
As they did during a 3-0 home loss to Brighton on the opening weekend, Everton fans departed Goodison Park in their droves and Dyche was met with a torrent of boos from those who remained after the full-time whistle.
Dyche, who has been in charge of Everton since January 2023 and has won just over 34% of his 67 games at the helm, is under contract with the Toffees until the summer of 2025.
However, according to Football Insider, Everton's hierarchy 'could get twitchy' if supporters begin to turn against the 53-year-old.
The report adds that Everton's poor start has opened the door for former manager Moyes to potentially return to the club this season.
It is claimed that Moyes is 'in contention' to make a sensational return to Goodison Park, 11 years after leaving the club to take over at Manchester United.
Moyes ready to return to Everton?
Moyes is currently without a club after leaving West Ham United upon the expiration of his contract at the end of last season, following a four-year spell at the London Stadium.
The 61-year-old's second stint as Hammers boss will be fondly remembered for his Europa Conference League triumph in the 2022-23 campaign - the club's first European title for 58 years.
Moyes, who won 112 of his 262 games in charge of West Ham, had previously managed Sunderland, Real Sociedad and Man United, lasting just nine months with the latter between July 2013 and April 2014.
The Scotsman was chosen to replace compatriot Sir Alex Ferguson at Old Trafford following a successful 11-year spell as manager of Everton, where he took charge of 518 games between 2002 and 2013.
Moyes stated after his final game for West Ham that he will take a break from football, but it is understood that he would 'love' to return to Everton for a second time should the opportunity arise this season.