December 05, 2015 03:36 PM


All is well with the newly expanded Kardashian West family!

After Kim Kardashian West gave birth to their second child, a son, on Saturday morning, she and husband Kanye West are “resting in a deluxe maternity suite” at Cedars-Sinai Hospital in Los Angeles, a source tells PEOPLE.

“They both seem excited. The baby is doing well, too, and is able to stay in the suite,” the source said, adding that many of Kim’s family members have already visited the suite, including sister Khloé Kardashian.

“They are receiving a lot of gifts, including baskets and flowers. The suite is also decorated with blue balloons,” the source shared.

Another source tells PEOPLE that Kardashian West, 35, had been experiencing intense contractions before giving birth.

“Kim was having some intense contractions last night but everything went fairly smoothly and she’s so happy to have the baby here,” says the source. “She’s resting now. She had some pretty intense anxiety the last couple of days and especially yesterday just before the baby came. But everything went according to plan.”

Kardashian West, 35, announced the birth of her son on her app and website Sunday morning with a simple post, writing that “mother and son are doing well.”

The reality star’s second pregnancy was an eventful one: In the final weeks, Kardashian West revealed that the baby was breech. However, much to her relief, her son turned after she underwent an external cephalic version.

“It feels so good to not have the stress of thinking I need a C-section,” a relieved Kardashian West wrote on her website and app.

— Andrea Park and Elizabeth Leonard

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