Kim also shares daughters Chicago, 15 months, and North, 5, plus son Saint, 3, with rapper Kanye West.
The 38-year-old announced the birth of her son via surrogate on Friday, tweeting, “Here’s here and he’s perfect!”
A source told PEOPLE on Friday, “They have had a name in mind, but wanted to meet the baby before they decided.”
“Kim and Kanye were both present for the hospital birth on Thursday,” the insider revealed. “They are ecstatic. Their little boy is super cute and looks like Kim.”
The source also revealed that the spouses’ three older children “have met their brother,” and “North seems the most excited”.
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