"Blatter mustn't worry, the (construction) time frame will be met," Lins said in an interview with Reuters.
FIFA president Blatter criticised on Monday what he called Brazil's day-after-tomorrow attitude to their World Cup preparations.
The Brazilian government and the local organising committee also said football's ruling body FIFA should not worry and invited Blatter to come and see for himself.
"If (FIFA) have doubts they can be clarified. They can come here and watch the work going on at the Maracana," said Lins, repeating the invitation to Blatter.
"We have cameras monitoring the works and the local organising committee have access. There are daily visits and inspections that will show the Maracana won't be a problem for the (2013) Confederations Cup," Lins added.
"The stadium will be ready in December 2012. There's no risk of that not happening."
"It's a natural thing. One of the objectives of the Confederations Cup is to test the stadiums for the (World) Cup. The Maracana, apart from staging the final, will be used for other matches," she said.
"Rio is also the gateway to Brazil which gives the stadium even more relevance."
The project for the stadium's refurbishment is to be officially unveiled on April 19.
"If we opt for restoring (the Maracana) it will get a new lease of life of something over 10 years," Lins said. "If we decide on reconstruction, that time could be 20, 30 years depending on the materials we use."
