The existing church building will see significant refurbishment undertaken to ensure it is restored to its former glory.
If funding is secured as scheduled, it is due to open in 2024.
Its architects were praised for putting "care and humanity at the heart of its design."
A traditional option is coming back to the fore, as a sustainable construction solution.
Built out of a traditional Italian farmhouse outside the city of Parma, the Greenary responds to the idea of biophilia.
Together with the existing locations in Stockholm, Tallin and New York, these will form the world's largest private art museum.
The garden on the historic industrial property's roof top in Turin comprises 300 native plant species.