Reports by Brazilian media say Snowden, a former U.S. intelligence analyst living as a fugitive in Russia, leaked documents indicating the U.S. National Security Agency spied on President Dilma Rousseff and on the state oil company Petrobras.
Lawmaker Ivan Valente said the trip aims to get more information from Snowden than he has leaked, CNN reported Thursday.
"The leaked information is an issue of national sovereignty," Valente said.
The United States is committing to working with Brazil to deal with its concerns, U.S. National Security Advisor Susan Rice told Brazil's foreign minister, Luiz Alberto Figueiredo Wednesday.
Rousseff has threatened to cancel her scheduled October visit to Washington over the controversy.
During a G-20 meeting last week in Russia U.S. President Barack Obama pledged to look into the spying incidents in meetings with Rousseff and Mexican President Enrique Pena Nieto, who also reportedly was an NSA spying target.