The former NY congressman is serving a almost two-year federal prison sentence following his conviction that stemmed from sexting with a 15-year-old girl.
The judge then announced the case was "discontinued", the source added.
The disgraced pol is serving almost two years of hard time in a MA federal lockup.
Abedin petitioned for separate in May, hours after Weiner conceded to sexting with a minor. Both Huma and Weiner signed the docs.
After some more reporters got on the story, such as Buzzfeed's Mary Ann Georgantopoulos, it became clear that the divorce was still on, however, and that the couple were simply settling the matter outside of court.
"In order to ensure the proceedings have a minimal impact on their child, the parties have chose to finalize their divorce swiftly and privately", Abedin attorney Charles Miller said in a statement.
But in August 2016, the New York Post posted photos and screenshots of communications between Weiner and another woman in 2015.
One image depicted Weiner's crotch with his and Abedin's four-year-old son laying next to him.