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Rob Kardashian's first few days of fatherhood are proving to be an absolute dream come true. The proud papa of Dream Kardashian shared a super sweet video of his precious newborn baby girl sleeping next to her mother Blac Chyna.

The playful reality TV star couldn't help but poke fun at his fiancée as she caught some zzz's.

"Just watching my girls sleep but man Chyna needs to chill with that snoring", he joked on Instagram. Chyna, dressed in a printed pajama top with her hair in a ponytail, can be heard peacefully snoring next to a sound asleep Dream while the newborn is swaddled in a white hospital blanket with a pink blanket draped over her.

Just watching my girls sleep but man Chyna needs to chill with that snoring ??????????????

A video posted by ROBERT KARDASHIAN (@robkardashian) on

The Rob & Chyna stars welcomed daughter Dream Renee Kardashian just yesterday morning, and the proud parents have been loving every minute with their brand new bundle of joy.

Rob's mom, Kris Jenner, and Chyna's mom, Tokyo Toni, were both in the delivery room to witness baby Dream's arrival into the world. "It was so beautiful and I'm so excited and happy to have another grandchild," Kris told E! News of the birth. "It was one of the most precious moments of my life."

Rob tweeted his sisters Friday to thank them for their support. He thanked Kourtney Kardashian "for being here and so supportive and so excited for DREAM to meet her beautiful cousins," while telling Khloe Kardashian, "love you Khlo money!! Thank u for doing that 4 hour drive and crazy flight to make it here... love u soooooo much."

He tweeted his love for Kylie Jenner, too, adding, "Thank u for bringing DREAM all her gifts!"

Watch the Rob & Chyna Baby Special Sunday, December 18 at 8 p.m., only on E!