Kim Kardashian and Kanye West watch the video board from their courtside seats at the Staples Center as the Los Angeles Lakers take on the Denver Nuggets during the NBA Playoffs on May 12, 2012. Kardashian is expecting a baby by the US rap star, accordingUS reality television star Kim Kardashian is expecting a baby by her boyfriend, rapper Kanye West, the website E! News reported. No details were given, but the site said West announced the news during his Atlantic City show on Sunday night. West and Kardashian announced in March that they were dating.