Two sources close to Hudson confirmed the news to the magazine, despite the denials of the singer's reps.
The Oscar and Grammy Award-winner is engaged to I Love New York 2 alum David Otunga, a Harvard Law grad.
The couple has not announced a wedding date.
Rumors have been bubbling about a little one for several weeks and were exacerbated by Hudson's appearance at her recent concert with Robin Thicke in New York.
In this photo at right, you can see a normally curvy Hudson with a decidedly rounder belly.
Hudson's publicist Lisa Kasteler responded simply, ''Jennifer is not pregnant.''
But sources close to the singer says she is, indeed pregnant.
If true, the news would be a bright spot in a year marked by tragedy for the talented American Idol contestant.
Last October her brother, mother and nephew were murdered, allegedly by estranged ex-brother-in-law William Balfour.
She made her emotional return to the spotlight at the Super Bowl, singing the national anthem. A week later, she won the Grammy for Best R&B album.
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