Matt Lauer and Sandra Bullock

Sandra Bullock says she had faith throughout the adoption process that she was going to be put together with the right child.

See photos of Bullock through the years

"I think everything works out the way the universe wants it to work out," Bullock said during an interview with Matt Lauer airing Tuesday on Today. "We had always said that it didn't matter where the child came from. If they had issues that were medical issues, we didn't care. It's like the child that needed us in the home is the child that's going to be placed."

The 46-year-old Oscar-winning actress, who referred to her son as "a little Cajun cookie," credits her friends and family with helping maintain her privacy during the adoption process.

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"It takes good people with integrity ... human beings exist that have integrity that know how to keep their mouth shut, that know the bigger picture, that don't sell out their friends," said Bullock. "I have friends and family that are filled with massive amounts of integrity. And it shouldn't be an oddity."

Following husband Jesse James' cheating scandal earlier this year, Bullock announced to People in April that she had filed for a divorce from James and quietly adopted a baby boy born in New Orleans.