Sky Sports News understands Burnley boss Owen Coyle would like to be granted permission to talk to Celtic about the SPL club's vacant managerial post.
The Scottish-born coach has been strongly linked with the position at Parkhead since Gordon Strachan parted company with the Hoops on Monday.
Coyle has regularly stressed that he sees his foreseeable future at Burnley, after leading the Clarets to the Premier League with a Championship play-off final triumph over Sheffield United.
However, it is understood Coyle is interested in speaking with Celtic, although Burnley have yet to receive an official approach from the SPL side.
A statement on the club's official website read: "Contrary to widespread speculation, Burnley football club has not received any official approach from Celtic for the services of manager Owen Coyle.
"Nor will the club welcome any approaches for Coyle, who remains under contract at Turf Moor."
Meanwhile, Scott McDonald has urged the Celtic board not to rush into appointing Strachan's successor.
"Obviously, we want to know what the future's going to hold," he said.
"I suppose the board have got a good amount of time to sit down and make sure they get it right, so I think that's the most important thing, not just to rush in and make the quickest appointment.
"I think they'll make the right one, whether that's this week or in three, four, five weeks."