The Inter Milan goalkeeper picked up a lumbar strain during last Wednesday's warm-up triumph over Zimbabwe in Harare.
He missed yesterday's friendly against Tanzania in Dar-es-Salaam in order to continue treatment for his injury, but is set to return on Monday.
"Julio Cesar will recover for our first game," said Dunga. "He is undergoing treatment and he is expected to train with the team this week."
Brazil line up alongside Portugal and Côte d'Ivoire in Group G.