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Between 2005 and 2009, Celtic was managed by Gordon Strachan.
Gordon Strachan will rejoin Celtic for a three-month consulting project - but will remain as Dundee's technical director.
Strachan, who was Celtic's manager between 2005-2009, will be responsible for the academy, the 'B' team and the women's side, "with the intention of making recommendations".
The ex-Scotland manager will not be working as a director of Football.
The 64-year old said, "I am looking forward to returning."
"The development and growth of young players is my passion. I will do everything I can to help the club in this area."
"I look forward to continuing my work with Dundee where I have developed a great working relationship. A close bond with the manager and managing director, staff, and coaches.
Strachan was linked to a return of Celtic in recent months. He is close to Dermot Desmond.
As part of the "broader work ongoing across club," he will report to Dominic McKay, chief executive.
McKay stated, "Like high-performance environments, we don't stand still. We always seek improvement and development."
"I look forward working with Gordon and utilizing the vast expertise and knowledge he holds to the benefit the club."
Dundee stated that they had been in constant contact with Strachan and Celtic throughout, and reiterated that the move "would not affect his role" at Dens.