Although the law specifically states that law enforcement officers may not consider race, color or national origin as a basis for inquiring about an individual's immigration status, Latinos and civil rights groups worry the potential for racial profiling is still there.
The Justice Department has been reviewing options for a potential legal case and could take several more weeks before sending recommendations to the White House for consideration.
Brewer told reporters that she and Obama did not discuss details of any pending lawsuit, but said earlier this week that she wouldn't be concerned with any potential challenge to the law.
"I would say 'meet you in court,'" she said on CNN when asked about her reaction to the administration's challenge. "I have a pretty good record of winning in court."
In a Pew Research Center pool released last month, 59 percent of Americans said they support Arizona's law, and 67 percent said they support allowing police to detain anyone who cannot provide their legal status. An NBC News/Wall Street Journal poll found 64 percent of Americans approve of the law.
The law is set to take effect in Arizona July 29 barring any legal challenges.
ABC News' Jake Tapper, Huma Khan, and Pierre Thomas contributed to this report.