Items which are identified as not being part of the original building will also be removed.
Another priority will be to stop water getting into the property.
“Condition survey reports to date have been unable to accurately confirm the causes and extent of longstanding defects – primarily penetrating damp – that have impacted the building since the 1970s,” the statement added.
“Consequently, and despite serveral well intended attempts by previous owners, penetrating damp continues to negatively affect the fabric and structure of the building which is a threat to its significance.”
Klein, who died in 2014, collaborated with major European fashion houses such as Dior to design some of the most beautiful textiles of the 20th Century.
His studio was built as a workspace for design, weaving and exhibiting samples.
It lies adjacent to his home, High Sunderland, which was built by Womersley in 1958 and is also a listed building.