Julio Cesar sustained a lumbar strain during last Wednesday's warm-up triumph over Zimbabwe in Harare.
The Inter Milan goalkeeper missed Tuesday's friendly against Tanzania in Dar-es-Salaam in order to continue treatment for his injury. Tottenham stopper Heurelho Gomes filled in but Julio Cesar 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 are in Group G alongside Portugal, North Korea and the Ivory Coast.
On the mend: Julio Cesar should be fine for Brazil's match against North Korea
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