Suleman said the man is a foreign-born California resident in his 30s, but did not disclose his current address.
He was a friend who would make a good father, Suleman said, adding that their 7-year-old son Elijah resembled him.
She said he was speechless when she told him how many children she was carrying, and then he asked Suleman if the doctor knew she already had many children.
The 33-year-old unemployed single mother gave birth to octuplets on Jan. 26. They were born nine weeks premature and are the world's longest-surviving set of octuplets. She already had six children, ages 2 to 7.
Meanwhile, two more of Nadya Suleman's babies, Maliyah and Nariyah, were sent home Saturday.
Kaiser Permanente Bellflower Medical Center officials said the two girls, each weighing about 5 pounds 2 ounces, were discharged privately at Suleman's request.
The release of the first two octuplets was a chaotic media event, as gawkers converged on the Suleman home late Tuesday night and photographers in a frenzy clung to the Sulemans' car as it pulled into the driveway.
The mother of 14 called 911 to complain about the paparazzi and express concern for her children's safety.
The remaining four babies remain in the neonatal intensive care unit and are doing well, the hospital said in a statement.
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