About a dozen DNA tests have been performed. Some people have been ruled out as Brown's children, while other tests are pending, said Dallas, who would not release details about any of the newly found children.
Dallas did not return a message left Tuesday at his office by The Associated Press.
Brown's will, which is being disputed in court, names six children.
One of the children found through DNA testing is LaRhonda Petitt, a 45-year-old retired flight attendant and teacher in Houston. She said the test showed that there is a 99.99 percent probability she is Brown's daughter.
The paper reported a Florida woman confirmed she also is one of Brown's children, but told the paper she did not want to be publicly identified.
The DNA testing happened after Brown died Dec. 25 of heart failure at age 73.
One possible child of Brown's who hasn't had a DNA test is 6-year-old James Brown II, the son of Tomi Rae Hynie. Hynie was one of Brown's backup singers and said she is the singer's fourth wife. But Brown's attorneys continue to dispute that claim, and the boy and his mother are not in the singer's will.
Hynie's attorney, Robert Rosen, said she hasn't changed her mind about DNA testing for her son.
"She believes all the children should be treated equally," Rosen said. "If all the children agree to a DNA test, she will consent to one for James II."
A private guardian for the boy also opposes the test, Rosen said.