The reality TV star shared the exciting news with Cohen after the host asked the expectant mum if she was "working on another child".
Sitting alongside her sisters Kourtney and Khloe Kardashian, Kim couldn't help but share the exciting news, telling Cohen, "We are".
Although Kardashian was trying to keep the news of her new baby via surrogate a secret, the beauty mogul realised the gig was up after she got drunk and started spilling the beans.
“I got drunk at our Christmas Eve party and told some people. I can’t remember who I told because I never get drunk.”
Kardashian also revealed that the baby's gender, informing Cohen that "It's a boy".
Andy, who recently announced that he is expecting his first child, also via surrogate, enquired as to when the baby Kardashian was due to which Kimberly non-committedly replied: "sometime soon".
The Keeping Up With The Kardashians star has been open about her struggles with pregnancy in the past, having previously suffered placenta accreta during her pregnancy with North, 5.
Kimberly and husband Kanye West have three children, North, Saint, 3, and Chicago, 1, who Kim gave birth to via surrogate last January.
Congratulations a baby boy Kim and Kanye!