Bolton chairman Phil Gartside is a known admirer of Coyle. The 43-year-old Scot, a former Bolton player, made the shortlist for the job 15 months ago before the appointment of Gary Megson, who was sacked last week.
I'm off: Coyle after Burnley's win last night
Yesterday, after lingering to applaud Burnley fans who had made the trip to Milton Keynes, Coyle sent assistant Sandy Stewart to speak to the media.
Burnley said their manager was on his way to catch a flight to Scotland to celebrate the new year with his parents. But Coyle was spotted in the tunnel 45 minutes after the match.
Stewart tried to play down Coyle's possible departure to fellow Premier League strugglers Bolton, saying: 'Until something happens it's total speculation.'
Asked whether he thought Coyle would leave, Stewart said: 'I honestly don't know. He loves Burnley. If you ask every player in the dressing room, they hope it was not his last match and they don't think it was.'
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