Well, it really seems that the airport will be a concession to the private sector . The Edital to choose the firms that will recommend the terms of concession has already three groups qualified for the study, i.e.:

- CONCREMAT – INNOVA: Innova Aviation Consulting LLC e Concremat Engenharia e Tecnologia S.A.
- INECO & SETEPLA: Ineco – Ingeniería y Economía Del Transporte S.A. e Setepla Tecnometal Engenharia Ltda.
- POTIGUAR: Ernst & Young Assessoria Empresarial Ltda, Aeroservice Consultoria e Engenharia de Projetos Ltda e CELP Consultoria Técnico Comercial Ltda.

The whole process can be checked here:
BNDES: Editais

Main guess is that will open the door for private capital to finance the construction too.