The 35-year-old is in the early stages of pregnancy, according to three people with knowledge of the situation, the Times reported.
The New York lawmaker signaled at a press conference on Monday that he has no intention of splitting with his wife in the wake of the scandal.
"My wife has known about some of these online relationships since before we were married," he said in addressing the matter. "But she did not know until this morning that I had not been truthful about the Twitter posting last week. I'm here primarily to express my apologies to my wife and family."
ForestHills Patch reports that Weiner's constituents are offering their sympathy to Abedin following news of her pregnancy:
"I can only imagine what she must be going through! She must be devastated,” said Ellen Weiss, a Weiner constituent from Forest Hills. “You know when you get married, you think ‘here's the man I'm going to spend the rest of my life with,’ then to find out and in such a public way that your husband is at the very least looking at other women, it’s terrible, believe me I know ... and now she's pregnant, it's very sad."
(Click here for more local reaction to the news.)
The Wall Street Journal reported earlier in the day:
Ms. Abedin has resolved to remain married to her husband, according to people familiar with the matter.
"I think people have been very deferential to her in terms of being a political spouse," said a person close to the couple. "She's not Mrs. Anthony Weiner. She's Huma Abedin. She's been known to many people for a very long time, and they've continued to respect her boundaries...This has been the first time she has encountered anything otherwise."
According to the Journal, Abedin sought advice from Secretary of State Clinton following her husband's admission.
Read more at The New York Times.