Kim and Kanye, who married in Italy in May, are already parents to one-year-old daughter North and are hoping to have a second child very soon.
US star Kim made the confession while chatting to reporters at the launch of new Kardashian beauty range Sun Kissed.
Kim told Entertainment Tonight that she ideally wanted to be pregnant at the same time as her elder sister Kourtney, who is expecting her third child with long-term partner Scott Disick.
She said: "I kind of wish I was pregnant at the same time Kourtney is. She's like more than half way in so, you know, we're trying. "
Kim then said it "would be fun", adding: "There's a lot of craziness in the house, so why not add pregnancy hormones to the craziness?
"It would be like a partner in crime. Someone to know those cravings that you're really going through."
Earlier this week, Kim revealed she has officially changed her name to West following hers and Kanye's wedding.
Rapper Kanye, meanwhile, was pictured holding daughter North on his lap after taking her to work with him at the recording studio.
It's clear the couple are happy in their little family unit, so watch this space - they could soon be welcoming another West into the clan!
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