06/23/2013 AT 4:00 PM ET
“Kanye is already an incredibly present father,” a friend of Kardashian’s tells PEOPLE. “He’s very relaxed and comfortable.”
As for future plans, sources say the new family will spend time together at grandma Kris Jenner’s Hidden Hills, Calif., home. “They’re putting work aside right now to focus on the family. They’re in it 100%,” adds the pal.
Despite a rumored proposal over the weekend, the source says that while it’s on the agenda, West is yet to pop the question.
“I can’t imagine them not getting married. That’s in their future!” the source adds.