Allardyce was removed as the Blackburn Rovers manager earlier this month and is keen for a return to football as soon as possible. Yet despite both Burnley and Preston also being in Lancashire a source close to Allardyce confirmed he is not interested in taking charge at either club.
It is understood that Allardyce is keen to continue managing in the Premier League, and he may be monitoring the situation at West Ham United and Fulham, where Avram Grant and Mark Hughes are both under pressure in the relegation zone.
Burnley, meanwhile, have appointed Stuart Gray as their caretaker manager as they seek a permanent replacement for Laws. Gray will be assisted by the youth team coach Terry Pashley and the club captain, Graham Alexander.
A club statement said: "The trio will oversee Burnley's next three games following the departure of Brian Laws as manager and his assistant Russ Wilcox."
Preston have also appointed a temporary replacement for Ferguson. David Unsworth, the first-team coach, will take charge. Maurice Lindsay, the club chairman, said: "We are delighted David has agreed to take care of the club at a difficult time; it couldn't be in better hands. David is a Preston man. He loves the club and is one of most enthusiastic people in the game of football and he will have full support of the club and the players."
Preston confirmed their assistant manager Kevin Russell was sacked along with Ferguson.
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