AceShowbiz -

Rob Kardashian and Blac Chyna are reportedly still living apart even after they welcomed their first child together, Dream Kardashian. HollywoodLife.com reports that the new dad still refuses to move back in with his fiancee though things are perfectly fine between them.

A source tells the publication that Rob and Chyna are "happy to be new parents" and he couldn't be more excited about fatherhood. "Rob is doing everything he can to be a supporting father," says the insider. "He has been going with Blac to her doctor's appointments and is helping with feeding and changing diapers. Rob loves being a new dad."

However, he and Chyna allegedly choose to remain living separately because "their relationship is not progressing like they had hoped it would after Dream's birth." The source additionally reveals that the two have delayed their plan to get married as they're still focused on their newborn.

Rob moved out of Chyna's house a few months ago, while she was still pregnant. He did so because they didn't want their fights affect her pregnancy.

The pair haven't responded to the HollywoodLife.com claims, but another report has emerged suggesting that their story isn't true. A different source close to the Kardashians tells PEOPLE that Rob and Chyna are now living together again in her Los Angeles home, where he gets to spend a lot of time with their baby girl Dream.

"Rob is super hands on with Dream. She's changed his life. She makes him want to be better. And he's spending a lot more time with his family," the source says. "Rob wants to live with Chyna and spend every day with Dream. He is making a big effort to get along with Chyna. She seems very happy with him. They are getting along great and enjoying parenting together."