During the closure, a comprehensive audit and review of all the framed works in the collection will be carried out.
This includes the fine art collection as well as local art and other pieces such as archives and photographs.
The first phase will involve decanting the contents of the store into the Scott Gallery.
Staff will then work to catalogue, mark and check the condition of all objects.
The second phase will involve reviewing and reorganising the stores.
The closure is taking place during the museum’s quietest period of the year to minimise inconvenience to the public.
Staff will continue to be present in the building with telephones answered as usual and enquiries dealt with.
Any special requests for access from visitors, special interest groups, researchers or schools will be accommodated wherever possible.
Councillor Vicky Davidson, executive member for culture, sport, youth and communities at Scottish Borders Council said: “This review will enable staff to undertake a thorough and expert review of all the artwork in the collection that is housed at Hawick Museum.
“It is a particularly fine collection that provides the content of their core displays and special exhibitions.
“It is also used extensively in their work with schools and other groups, including researchers, and also acts as a legacy for future generations to enjoy and learn from.
“Once the review is complete, staff will have an even better knowledge and understanding of the collection as a whole which will enhance the service they are able to provide, both in terms of collection care and customer service.”
The museum currently has permanent displays as well as four changing spaces to allow a series of art and exhibitions to come and go.
The museum will reopen on March 21 2016.