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He added: "However, it is still a long way from the glory days which lasted more than 50 years and only really ended in the 1980s when the mills got involved in price cutting and other short term measures.
Chief executive Ian Angus MacKenzie said Harris Tweed Hebrides had just had its biggest single order from the US since the company started in 2007.
"But I think year on year we have seen that business come back.
"Canada itself used to be a huge market and the potential is still there.
based Harris Tweed firm targets US and Canada
She told BBC Alba: "Various things happened through the 1980s due to import issues and price wars between the different mills that really weren't helpful.
Harris Tweed Hebrides, which accounts for 90% of production, has teamed up with an international advertising firm in an effort to resurrect the market.
"The more people are reminded of the heritage, style and quality of Harris Tweed the better, so we think this new initiative can be a really useful tool."
"People are looking for style, looking for quality and looking for Cheap Women Canada Goose Chilliwack Bomber Light Grey Ireland heritage and all of those things Harris Tweed can offer."
The Shawbost based company and agency Leo Burnett will promote sales using social media.
Margaret MacLeod, Harris Tweed Hebrides market development director, said there was potential demand for the fabric in North America.