"The last few days were very stressful," a source tells E! News exclusively. "It was time."
Fortunately, mother and son are both doing well, and although the days leading up to Kim's delivery were stressful, she had plenty of family members on hand for moral support.
In addition to Kanye, of course, Kris Jenner, Kourtney Kardashian and Khloe Kardashian all joined Kim at the hospital.