Sky Sports sources understand Stromsgodset manager Ronny Deila is under serious consideration for the Celtic job.
The 38-year-old, who led Stromsgodset to their first Norwegian title in 42 years in 2013, has been on Celtic's shortlist since Neil Lennon left the club last month.
Stromsgodset refused to comment on the news but did confirm Deila is contracted to the club for another two years.
Parkhead chief executive Peter Lawwell told Sky Sports News Celtic are hoping to name their new manager in the next week and are still talking to a number of candidates.
"There is nothing more we can say, we are still working on it," he said. "But hopefully within the next few days, or certainly within the next week, we might have something to say.
"We are still working on the same number of candidates. We are talking to a lot of people and hopefully we will get the right guy soon.
"We have met a few of the guys and it's been good. We have enjoyed the process and there has been a lot of good candidates."
Deila was appointed to his current job in 2008 after formerly working as both a player and coach at Stromsgodset.
He led them to the Norwegian Cup two years later and, after finishing runners-up in the title race in 2012, lifted the championship in December of last year.
Former West Brom manager Steve Clarke had emerged as the new favourite to land the job after the Republic of Ireland assistant manager Roy Keane ruled himself out of the running.
Former Cardiff City boss Malky Mackay, who played for the Hoops, and Owen Coyle, who has been out of work since leaving Wigan, are also reported to be on the shortlist.