Among the problems last weekend were a leaking roof and faulty communications for fans and journalists.
The second test match was to be played between stadium owner Corinthians and Brazilian champion Cruzeiro in the Brazilian league. Now it will be Corinthians against Botafogo, the Rio de Janeiro club that was originally scheduled to be the home team.
The Brazilian soccer federation said FIFA requested the change citing a "necessity to make adjustments" at the Itaquerao. The federation said it accepted the request "because of the importance of the subject."
Valcke arrived in Brazil on Monday to oversee Brazil's final preparations for soccer's showcase event. He will tour all 12 host cities again to make sure everything is in place for the tournament.
He said it was "great to see the progress" made at the Arena Pantanal in the western city of Cuiaba, but noted there was a need to "work at full throttle to turn the arena" into a stadium ready for the World Cup.
Valcke also praised the southern city of Curitiba on Tuesday, saying there was "great progress on work to deliver (a) top-class stadium."
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