Workers were at the site yesterday, removing flower beds, in preparation for arrival of a huge crane, which will remove the sculpture.
The symbol and star attraction of the Commonwealth Games in George Square has been photographed by thousands of people.
Council bosses say it will be relocated outdoors, but have not yet revealed where it will be going.
The Big G became a star attraction in its own right during the city's hosting of the Games.
Even after the Games finished on August 3, locals and visitors were still queuing up to have their picture taken with it.
The three-dimensional structure is taller than a double decker bus and weighs the equivalent of an African elephant.
Once it is dismantled, it will be strengthened and the metal treated to make it fit for permanent display outdoors.
Council leader Gordon Matheson said: "Although originally intended only for display during the Games, I am sure people will want to enjoy this landmark for years to come.
"That's why I'm delighted to say it will be restored and treated so that it can be permanently displayed and enjoyed by Glaswegians and visitors to our city."
Alongside the Big G, the council is looking into new homes for the 25 statues which made up Clyde's Trail, ensuring they remain on show to the public.
Mr Matheson added: "Glasgow looked her absolute best for the thousands of visitors and millions of global TV viewers watching the Commonwealth Games. Our city came alive during the Games and the Big G was the standout backdrop. It was featured by the media in nearly all of their Games reporting.
"It went viral on social media and it was the must-have selfie for residents, visitors and athletes."