Planning permission and a building warrant has been secured by the company to extend the Clyde Blowers office building in East Kilbride.
The £2.75m project is expected to begin in the spring of 2014.
The award follows a £120,000 refurbishment by Inkdesign of 800 square metres of office space.
Mr McColl said he was impressed by extension work completed at the headquarters of Michelle Mone's MJM, which is also based in East Kilbride.
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Maurice Hickey, Inkdesign's managing director, told The Herald: "[We are] considering expanding our own office from the south side of Glasgow into the Merchant City area which would enable us to take on more staff.
"Most of our work comes from clients' recommendations and we are now building up an impressive reputation in the commercial, industrial and leisure sectors thanks to people like Jim McColl and Michelle Mone.
"Working with two of Scotland's leading business people has been a great experience. They have a great attitude and trust us to get on with the job.
"Having an insight into the Clyde Blowers story has been inspiring. Jim supports local businesses and is a proud advocate of the creative industries in Scotland."
He added: "Due to the rapid growth of our business and its transformation into Clyde Blowers Capital, we are outgrowing our existing headquarters in East Kilbride.
"Inkdesign's drawings for the proposed extension reflect my vision of an iconic headquarters building befitting our position as a global company based in Scotland."
(IT)
