The 28-year-old model is believed to have given birth to her second daughter with the Maroon 5 singer, with whom she already has 15-month-old Dusty Rose.
According to E! News, the pair have named their new bundle of joy Geo Grace, but the pair are yet to make a public announcement confirming the happy news.
Adam, 38, and his spouse - whom he married in 2014 - announced they were expecting a second child in September, and the 'Sugar' hitmaker revealed during an appearance on 'The Ellen DeGeneres Show' in November that their tot would be another girl.
Speaking to Ellen - who helped pick out the moniker for their first daughter - Adam said: ''We're having another girl. Like it or not, I told her you're [Ellen] going to be involved with this next one, too.''
To which the 60-year-old comedienne replied: ''We're already working on it. To say I named one of your children isn't a big story - but to name both is a big story!''
And it's unlikely the pair will stop and two tots either, as Adam previously revealed the happy couple both want a large brood.
He said: ''I want a lot. I thrive in chaos. I really genuinely enjoy it. She [Behati] was an only child ... She wants, like, 100 babies, but I don't know if I could do that.''
The pair announced they were expecting their second child in September when the brunette beauty uploaded a photograph of her swollen belly and wrote: ''ROUND 2..... (sic).''
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