PSA national secretary Glenn Barclay said the matter had since been finalised, after a Deloitte staff review report was commissioned by the Dunedin City Council and a change process undertaken.
"We are now engaging constructively with the museum on a number of questions, and look forward to a positive relationship in future," Mr Barclay said.
Dunedin City Council Ara Toi (arts and culture) group manager Nick Dixon said five front-of-house staff had opted to be redeployed from the museum and the garden, also known as Lan Yuan, to the Dunedin City Library.
The aim was to provide the staff with "very similar roles", where possible.
Deloitte had earlier reviewed the visitor host function and structure at Toitu and Lan Yuan, and worked with staff and union representatives.
The Deloitte report was received on March 29, and its recommendations were still being worked through.
Asked how many staff were employed at Toitu and Lan Yuan before and after the staff review, Mr Dixon said that 28 staff at Toitu and Lan Yuan were engaged in the review process.
All front of house roles were disestablished and new roles had been created.
"We are still working through changes with some affected staff."
Asked about any resignations, he declined "to discuss individual staff information for privacy reasons".
Information about how many staff worked across more than one institution, such as with the Dunedin Public Art Gallery, before and after the staff change process, would not be available until it was completed.
There were nine unfilled posts at Toitu, including the visitor experience manager, he said.
Dunedin Public Art gallery director Cam McCracken is also acting director of Toitu.
Further consideration would be given to whether the duties would be shared between the museum and the gallery, or a new separate director would be chosen for Toitu, Mr Dixon said.
An outcome should be known by the end of the year, he said.
The report had been commissioned to clarify the front of house roles and establish a service model that "best meets the needs of the business" and helped deliver "great cultural experiences for our visitors".
The service model had also been benchmarked against similar institutions, and a rostering system recommended.
