However, Spears, 24, and Federline, 28, have yet to confirm the name.
Federline would not reveal the name during an appearance Thursday in Los Angeles on the 101 network's music show "CD USA." "I will leave that to my wife to announce," the aspiring rapper told a reporter.
Spears' publicist, Leslie Sloane Zelnik, did not immediately return an e-mail from the AP on Friday.
When he arrived, according to some news reports, the boy's name was Sutton Pierce. Speculation has bubbled since that the baby's name was something else.
Spears and Federline were married in September 2004. They have another son, Sean Preston, 1. Federline also has two children from a previous relationship.