Kim Kardashian says she won't be having baby No. 4 any time soon. The 37-year-old "Keeping Up with the Kardashians" star spoke out Wednesday to shut down reports she asked her surrogate to carry another child following daughter Chicago West's birth this month. "fake news," she tweeted alongside a headline that claimed Kardashian "already asked her gestational carrier if she wants to carry another baby." People reported earlier in the day that Kardashian and husband Kanye West were eager to welcome a fourth child. The couple share Chicago, 2-year-old son Saint and 4-year-old daughter North. "Even before Chicago was born, Kim was talking about asking the surrogate to carry her next baby," a source said. "She's so happy with the whole process and thrilled with the surrogate." "Kim definitely wants more kids," the insider added. "She is so happy being a family of five. She wants the family to get even bigger!" Us Weekly said Kardashian and West had spoken to their surrogate about the possibility of another child. "They asked the surrogate if she'd be willing to have another child for them if they decided to do it," a source said. Kardashian and West welcomed Chicago via surrogate Jan. 15. The reality star has yet to share a photo of the infant, but posted several pictures with Saint using Snapchat filters Tuesday.