We know it can be a difficult decision, and many parents, like Halle Berry, wait until after their baby's born. But could you wait more than three weeks to name your baby?

Actress, Brooke Burke and her fiancé David Charvet are still negotiating over their three-week-old son's name.

"We've waiting our whole life for a son, and we haven't named him," Burke admits to PEOPLE. "He did leave the hospital without the birth certificate. I know that's terrible!"

But the celebrity couple known for bestowing unusual monikers on their children, may soon reach an agreement. "We're really, really close [to a name]," said the 36-year-old. "We've agreed on the first and the last, and we're still fighting on the middle."

The baby boy joins the couple's daughter, Rain, 1, and Burke's two girls – Neriah, 7, and Sierra, 5 – from a previous marriage.

"Going from two to three was easy. Going from three to four, a whole other world," says Brooke. "We're so sleep-deprived right now, we can both barely see straight."

[PEOPLE]