The couple have had to hire a surrogate to carry the baby, as Kim wasn't able to undergo another pregnancy without a truckload of health risks.
The baby is due to arrive at the end of January.
Kim has opened up about her condition on her website before, saying that, "It was the most painful experience of my life."
TMZ also reported that Kimye paid $45,000 for the surrogate, who is not allowed to smoke, drink, partake in hot tubs, use hair dye, or eat raw fish.
A source has also told People, "The entire family is over the moon. Kim had been looking for a surrogate for months until recently when she found the perfect candidate."
Naturally, Kim and Kanye are "super involved in the process." The source added, "They want everything to be perfect and for the baby to be extremely healthy. They don’t want any complications and Kim is providing an ideal eating regimen and diet so everyone knows what the baby is consuming before it’s born."
Congrats to the happy couple.