Burnley defender Stephen Ward has admitted that it would be "a blow" for the club if they lose manager Sean Dyche to Everton. Eddie Howe hasn't been mentioned once for this job; he finished ninth last season with Bournemouth.
Moyes was a surprise choice to replace Sir Alex Ferguson at the helm, when the latter retired at the end of the 2012-13 season but, despite being given a six-year deal, he was sacked before the end of the season as United failed to qualify for a European competition for the first time since 1990. He has guided Burnley to the Premier League in his second season in charge of the club.
The Toffees have continued to flounder since Ronald Koeman's sacking earlier this month and Burnley boss Dyche is believed to be the man the Merseyside club want at the moment.
"When the iron is hot I think you've got to strike, and you want to get to the top".
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Sean Dyche has Burnley well organised and hard to break down.
Both Burnley and Dyche have remained tight-lipped about reports linking him with Everton, who are now being managed by David Unsworth on a caretaker basis.
The Clarets have drastically improved on their away form from last season, already beating Chelsea at Stamford Bridge and earning draws against Tottenham Hotspur and Liverpool at Wembley and Anfield respectively.
Dyche, 46, has been with Burnley for five years. There's nobody veering or thinking they can step outside the team ethic. If you're Burnley, you've got £100m at stake, you've got a guy who, maybe guarantee is too strong a word, but it's close to guaranteeing you staying up. It's nothing new. He's obviously got ambition but we're happy he's here. "They'll be desperate to do a deal with him to stay".