Hawick Knitwear, which employs more than 230 staff, has also increased its production of sweaters to meet demand.
Production has been boosted by better than expected sales of the Hawick Knitwear-branded range which launched in January.
The company, which dates back to 1874, was bought by managing director Benny Hartop in November last year.
As well as the new range, the firm has seen growth of its longer-established business of supplying customers who sell the garments under their private labels.
In Europe, Hawick Knitwear sells into Sweden, Finland, Ireland, Germany, the Netherlands, Belgium, France, Italy and Spain.
Markets outside Europe include the USA, Canada, Mexico, and Japan.
The knitwear firm has increased its production to 9,500 sweaters each week, from about 7,500 last year, to keep up with demand.
Mr Hartop said: "The increase in production is in direct response to a surge in orders from both home and abroad for our private label clients and now for our own brand too.
"There will always be challenges but thankfully our future is looking very good and this is a testament to the dedicated staff working at all levels of the business.
"I have no doubt this success will continue for us into the future."

The non-league club's ground at Meadow Park was completely submerged by the 2007 floods and they have been unable to play there since.
The new ground will be a completely new build, within the boundaries of the old stadium, and will include flood defences.
The plans will be submitted to Gloucester County Council next week.
Club spokesman Mike Dunstan said: "We have regularly communicated with residents and can say that this flood defence proposal will give substantial and significant benefits to the residents and businesses of the Sudmeadow area.
"GCFC flood risks consultants have been working on this proposal since 2008 with the EA (Environment Agency) to provide the solution."
Since 2007 the club has played home games at the grounds of Forest Green Rovers, Cirencester Town and Cheltenham Town.
Club chairman Nigel Hughes said: "I am especially pleased for our supporters who have, throughout this very difficult time, been wonderfully supportive and extremely patient with us.
"There is still much work to be done but this gives us all a big lift and is something to work towards."

The first half of the Glasgow School of Art building was completed in 1899.
But the dramatic art nouveau design of the building in the Garnethill area of the city centre took another 12 years to be completed, finally opening in 1909.
It heralded the birth of a new style in 20th Century European architecture.
It is now considered one of Scotland's most admired and influential buildings and Mackintosh, under-appreciated in his own time, is lauded as one of the country's finest designers.
The thick sandstone building is as renowned as the intricate detail and ornament of the interior.
Famous Glasgow School of Art graduates includes Dr Who actor Peter Capaldi and Harry Potter actor Robbie Coltrane, as well as novelist and muralist Alasdair Gray.
Artist Peter Howson and Scotland's national poet Liz Lochhead attended the school, as well as Fran Healy and Dougie Payne from Glasgow band Travis and members of Franz Ferdinand.
In recent years, Glasgow School of Art has produced many of the UK's leading contemporary artists such as Douglas Gordon and David Shrigley and three recent Turner Prize winners: Simon Starling in 2005, Richard Wright in 2009 and Martin Boyce in 2011.
The newest Glasgow School of Art building was officially opened across the road from Charles Rennie Mackintosh's masterpiece earlier this year.
The Reid Building - named in honour of the art school's former director, Seona Reid - sits facing Rennie Mackintosh's famous landmark.
A Borders textile firm has announced a 20% increase in its turnover, to Â£8m a year, in its annual accounts.
[NEXT_CONCEPT]
Plans to rebuild flood-damaged Gloucester City Football Club's stadium have gone on display.
[NEXT_CONCEPT]
Charles Rennie Mackintosh was a 28-year-old junior draughtsman at a Glasgow architecture firm when he drew up the designs for the building that many consider his masterpiece.