Dunga is confident goalkeeper Julio Cesar will be fit in time for Brazil's 2010 FIFA World Cup South Africa opener with Korea DPR.
The Inter Milan goalkeeper picked up a lumbar strain during last Wednesday's warm-up triumph over Zimbabwe in Harare.
He is undergoing treatment and he is expected to train with the team this week.
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.