The singer already has five children - Zion David-Nesta, 13, Selah, 12, Joshua, 9, John, 7, and 3-year-old Sarah - with on/off partner Rohan Marley.
A source revealed to website Blackcelebkids.com that the 36-year-old "had a little scare because the baby came out the womb with the umbilical cord wrapped around his neck but all is well now and everyone is happy".
Marley was rumoured to have left Hill for Brazilian model Isabeli Fontana, who previously tweeted: "I'm in love with @Romarley's heart."
However, Marley insisted on Twitter yesterday that he is still with Hill.
"Ms Hill is the mother of my children, whom I have a tremendous amount of love and respect for," he wrote. "I would never do that.
"The nature of our relationship [is] something we don't expect people who spread gossip for a living to fully understand."
Watch the video for Lauryn Hill's 'Ex-Factor' below: