Valcke said on Twitter that the Itaquerao "still needs 100 percent from everybody to guarantee necessary structures are in place" for the opener.
"A test event does not compare to the scale, needs (and) global attention of the opening match of the World Cup," he said.
Valcke was in Brazil last month to visit the Itaquerao and said there was "not a minute" to waste to get the stadium ready. Since then, prosecutors threatened to halt construction at the venue because of health and safety irregularities, and workers admitted the roof will not be finished for the opener.
The Itaquerao is one of the stadiums that have not been tested with a full crowd in attendance because of delays. The same happened at the Arena Pantanal in the western city of Cuiaba and the Arena da Baixada in the southern city of Curitiba.
The Arena Pantanal also held its final test on Sunday.
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