And although both Odom, 31, and Kardashian's brother Rob have said they hope there's a baby "on the way soon," Kardashian, 26, is in no rush to have kids.
"I'm not desperate to have a baby," the reality star told PEOPLE Thursday, while promoting her new E! show Khloé & Lamar, which debuts next month. "Do I want children? Yes. But I'm very happy being just Lamar and I."
She added, "I think a baby would add so much to us, but right now, I'm so content and so happy with the way things are. People think I would sell my hair to have a child.