The historic building was damaged in a fire earlier this year.
The team, according to the GSA, will be responsible for restoring the property into a fully functioning art, architecture and design school.
It has now called for expressions of interest from qualified teams; as a minimum, the team must include an architect and a structural engineer, as well as mechanical and engineering consultants.
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In a statement, Douglas Anderson, Estates Development Project Manager, said: "The Mackintosh Building is studied in architecture departments across the globe as an example of almost unmatched design, with generations of architects inspired by Mackintosh's masterpiece.
"The chance to lead the restoration of this truly iconic building is a once in a life time opportunity and we are anticipating that there will be significant interest from design teams in the UK and beyond."
Expressions of interest should be registered by 12 noon on Monday 10 November 2014. A shortlist of teams will be decided after this date, with successful candidates then being invited to submit a full tender.
It is anticipated that the design team will be appointed in spring 2015.
Those wishing to register an expression of interest can apply here.
(JP/CD)
