She ended up with humorous options like Lip-Kit, West (as in the baby's full name would be West West), Star (which is what North actually names everything), and Pop.
Kim revealed during an appearance on Ellen DeGeneres' TV show on Monday that she'd thrown a shower over the weekend for the benefit of daughter North and mentioned during the story that the latest addition to the family will be a little GIRL.
In a chat with the host, Ellen, Kim shared how her eldest child aka daughter North, who is just four-years-old, has already taken to referring to the arriving baby as "Baby Sister".
She said: "You know, it is really different".
To which DeGeneres responded: "She's a toy tester and you just told us it's a girl!"
But we still aren't any closer to a confirmation from either sister - and their sister Kim isn't going to let it slip.
It's rumoured the 20-year-old is expecting rapper boyfriend's baby.
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"People brought toys and gifts and [North] was opening them all up the next day", Kardashian West explained. "[Her having] a brother was a little trickier. I've had to explain to her: 'When you come into my room in the morning I have to be with baby sister, I have to feed her'".
"In the world we live in today, I don't think you ask someone young growing up to not be on social media - that's just cruel. We have no name".
"I said, 'What do you wanna name it?' and she said 'Star".
Speaking to "Entertainment Tonight", she said: "I hated being pregnant and I never thought I'd ever ..."
Kim said she was surprised by her reaction.
It really does have a ring to it, considering North herself was apparently named after the North Star.
Khloe has sent her fans wild as they try to guess if she is, or isn't, pregnant, and her eagle eyed fandom are looking to photos of the 34-year-old star for evidence either way.