Tommy Burns insists he has not been approached for a job interview by the Scottish Football Association as they seek a replacement for Walter Smith.
The long-serving assistant to head coaches Berti Vogts and Smith was expected to be among the leading candidates for the top job, along with Alex McLeish.
Burns has reportedly been shortlisted as a potential head coach, but McLeish has already been invited by chief executive David Taylor to an interview with the SFA's most senior officials.
The former Rangers manager is a firm favourite for the job.
Burns, who also serves as first-team coach and head of youth at Celtic, told the Evening Times he has yet to hear from Taylor.
He said: 'When that happens, then maybe I'll have something to think about. But nothing has been done and nothing has been said.'
Burns also stated that 'it would be very difficult to leave Celtic', even though he is keen to manage in his own right in the future.
'I have spent a long part of my life here as a player, as a manager, coach, head of youth and helping with the first team,' he said.
'So it has always been my club, something which is very important to me. It's a huge part of my life and part of my family's life.
'It would be a monumental decision for me to leave this football club.'
While Burns is still waiting to hear from the SFA, Gary McAllister may soon be required for two interviews.
He is thought to feature on the SFA's shortlist, and was also today made the bookmakers' early 7/4 favourite for the role of manager at Coventry after Micky Adams' departure.
McAllister left the Sky Blues in January 2004, after almost two years as manager, to care for his wife who later lost her battle against cancer.
The former Scotland midfielder has declared himself ready to return to work.