The countdown-to-baby has begun for Nicole Richie and Joel Madden.

Their first child is due "sometime in the next week," Madden's older brother Josh told reporters at the FUZE/Resolution Slenderize bash in Hollywood Wednesday night.

Just don't expect the eldest Madden to dish any secrets on the impending arrival.

"That's all we know," he said. "We don't know what [gender] it is. We don't know any names. I'm being completely honest, I swear!"

Josh – whose next gig is DJ-ing at a Sundance Film Festival party with younger brother Benji – said he's recently logged some quality time with both brothers and, of course, Richie.

"Christmas was awesome," said Josh, whose younger sister Sarah also recently gave birth. "Nicole couldn't fly, but we were all there. My sister's baby was born on he 20th, so it was right before."

And yes, the proud uncle has already picked out his baby present.

"I got them some clothes, that's what I'm into," Josh said. "We're very excited."

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