Mr Perry said that while the building will not be a council-operated library, the books will still be available when it reopens at an Asian Resource Centre.
Croydon Council has faced criticism for the library’s closure, as well as three others, as part of its restructuring.
In March, some residents told BBC London the library had been a “lifeline” for them.
Mr Perry said the new resource centre will have expanded opening hours compared to when it was a library, operating for two days a week.
He told the BBC in March: “Those that were the lowest usage essentially were the ones that were then shut.”