Nyssen also said she thought works of tremendous cultural significance shouldn't be confined to a single place.
"My priority is to work against cultural segregation, and a large-scale plan for moving [artworks] around is a main way of doing that," Nyssen said.
Asked if she was worried about the artwork's preservation, Nyssen cited the example set by French President Emmanuel Macron, who recently suggested loaning Britain the delicate thousand-year-old Bayeux tapestry in 2022 while renovations take place at the French museum currently holding it.
Talk of the painting's inclusion has many art fans and travellers excited, expecialy the possiblity of seeing the masterpiece in a less crowded setting.
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More than eight million people visited the Louvre in 2017, many of them tourists keen to captivated by the smile of Da Vinci's most popular subject.