Well, the show is currently in production and is slated to continue filming for another couple of months, so it would be kind of hard for the baby not to show up on the series. But unlike the special on Kim's ill-fated wedding to Kris Humphries, the new baby will not be getting her own spinoff — at least for now.
According to a representative from E!, the network will air the already scheduled third episode of the new season Sunday and that there is no immediate plans for a baby special. E! network also confirmed that Kanye was with Kim when she gave birth, adding that the couple hasn't revealed their daughter's name yet, but that Kim told friends it "will start with a K," and the middle name could be Donda, after Kanye's late mother.
To what extent the baby will be featured on Keeping Up With The Kardashians is unknown and could be tricky with Kanye vowing never to appear on the show ever again and recently telling The New York Times that he will be protective of his child and that she "isn't America's baby."
The arrival of the baby also could help out grandma Kris Jenner's promo campaign for the July 15 launch of her syndicated talk show and could give her appearances a boost.