Its current premises in the former Notre Dame College site in the west end of Glasgow - said to be inhabited by a ghost - have been put on the market and could sell for as much as pound;9 million.
The proceeds, however, will not go directly to LT Scotland but to the Scottish Executive, which owns the building, although a proportion of the price is expected to be spent on refitting the organisation's new 30,000 sq ft offices, once they are chosen from a shortleet and approved by the Executive.
The West End offices, which cover a 130,000 sq ft site, are expected to attract significant interest from property developers, given their location in an affluent residential area.
Bernard McLeary, chief executive of LT Scotland, said: "Given the way LT Scotland has developed over the years, the increase in service provision to our teachers throughout the country and the significant developments in the type of educational support we provide, it is clear the building at Victoria Crescent Road is now hampering the progress of the organisation.
We have 163 people spread over the many floors and complex room arrangements throughout the building. By moving, we will be operating in a building designed to suit our business requirements rather than a facility which has been unable to mirror the progress we have made in all sectors of education provision -particularly in the ICT sector."
LT Scotland was formed in July 2000 by the merger of the Scottish Council for Educational Technology, which was based in Glasgow, and the Scottish Consultative Council on the Curriculum.
LT Scotland's base in Dundee will be unaffected by the move.