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Rob Kardashian Shed Tears of Joy When Baby Dream Arrived: She Already Has Him 'Wrapped Around Her Finger,' Says Source

Updated

Rob Kardashian is already smitten with his new little bundle of joy.

On Thursday morning, Kardashian and his fiancée Blac Chyna welcomed their daughter, Dream Renée Kardashian, into the world — and the new daddy couldn’t hold back from showing his emotions!

“Rob was so emotional. He started crying when he saw his daughter,” a source tells PEOPLE. “He’s been waiting for this moment for such a long time! She already has him wrapped around her finger.”

Kardashian, 29, was in the delivery room when his bride-to-be gave birth to the newborn via cesarean section. Chyna, 28, arrived at Cedars-Sinai Medical Center in Los Angeles early Thursday morning and welcomed their baby girl at 9:18 a.m., weighing 7 lbs., 5 oz., according to E! News.

Hours after meeting his adorable daughter, Kardashian took to Instagram to share a photo of the newborn. “Today was amazing🙂 I am so lucky!! Thank you @blacchyna for having our baby and being so strong ! I love you so much and can’t wait to see her get older day by day with you Chy! I love you and Dream so much and Appreciate both of you. I know everyone saying that’s my twin but that’s def your nose Chy lol,” he penned in the heartfelt post.

In May, the couple shared the exciting news that they were expecting a little one shortly after Kardashian proposed with a diamond ring. On the September premiere of their reality show Rob & Chyna, the couple revealed that they would be having a girl.

WATCH: She’s a Kardashian All Right! Insider Says Rob Loves That Baby Dream Is His ‘Spitting Image’

 

Though the first season of Rob & Chyna had its finale on Oct. 16, a source previously confirmed to PEOPLE the couple will have the cameras rolling in the delivery room while they welcome their daughter into the world. On Thursday, E! confirmed that an hourlong baby special will premiere Dec. 18.