The pair will meet after Blatter earlier this month slammed Brazil for being further behind schedule than previous host nations in the 16 years that he has been head of world football's governing body.
Blatter accused Brazilian organisers of having begun preparing too late after being awarded the event in 2007.
Half of the 12 stadiums were unable to meet a FIFA completion deadline of December 31.
The Sao Paulo stadium which will host the opening match on June 12 will not be ready for pre-tournament testing until mid-April following a fatal accident there in late November.
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The Brazilian leader will meet Blatter at FIFA's Zurich headquarters, her office told AFP.
Estado de Sao Paulo newspaper indicated the two would meet next Thursday.
Countering Blatter's criticisms, Rousseff said in a post to Twitter that "demand for tickets is the biggest there has been for any Cup, and that shows fans across the world have confidence in Brazil."
Relations between FIFA and Brazil have been tense for more than a year since Blatter's secretary general Jerome Valcke said that the hosts needed a "kick up the backside" to bring preparations up to scratch.
Valcke, who apologised for his comment, will be back in Brazil next week, visiting Sao Paulo on Monday to assess latest developments.
He will go on to three other venues which have been lagging behind schedule -- Cuiaba, then Manaus and Natal in the north, before visiting Rio for a charity event on Wednesday.