Frank Micelotta/Shutterstock Khloé Kardashian Khloé Kardashian is figuring it out by the day when it comes to naming her newborn baby boy. Earlier this week, a rep for the 38-year-old Good American co-founder told PEOPLE that Kardashian and Tristan Thompson –– who split in January–– welcomed their second baby together via surrogate. Now, a source tells PEOPLE that the proud mom is waiting to name her bundle of joy until she knows for sure what she wants her nickname to be. “Khloé is on cloud nine. Having a baby brother for True has been such a journey. She’s so excited to be a mom again,” the insider says. “She really wanted a baby boy.” “Khloé has yet to share a name,” the source adds. “She takes her time with the name. She wants it right.” Never miss a story — sign up for PEOPLE’s free daily newsletter to stay up-to-date on the best PEOPLE has to offer, from juicy celebrity news to compelling human interest stories. Khloe Kardashian and Tristan Thompson Tristan Thompson/Instagram Khloé Kardashian and Tristan Thompson with True RELATED: Khloé Kardashian & Tristan Thompson Welcome Second Baby Via Surrogate Last month, it was revealed that Kardashian and Thompson, 31, had a second child together. The exes are already parents to 4-year-old daughter True Thompson. “We can confirm that True will have a brother who was arrested in November,” a rep told PEOPLE. “Khloé is incredibly grateful to the amazing surrogate for such a beautiful blessing. We would like to ask for kindness and privacy so Khloe can focus on her family.” Want to get the biggest stories from PEOPLE every day? Subscribe to our new podcast, PEOPLE Every Day, for the essential celebrity, entertainment and human interest news Monday through Friday. Kardashian and Thompson began dating in 2016 and had daughter True in 2018. They split in June 2021 before reuniting. Kardashian then ended her romantic relationship with the NBA player in January of this year. The story continues Thompson is also father to son Prince, 5, with ex Jordan Craig and son Theo, 8 months, with Maralee Nichols. RELATED VIDEO: True Thompson Looks Big While Jet-Setting With Mom Khloé Kardashian: ‘My Little Lady’ Kardashian’s decision to stop naming her new baby right away comes after sister Kylie Jenner faced a naming dilemma with her own second child earlier this year. After giving birth to a baby boy in February, Jenner, 24, and Travis Scott shared a post on her Instagram Story a month later, revealing that their child would no longer be named Wolf, the name he was originally given. “For our sons [sic] the name is no longer Wolf,” Kylie wrote at the time, referring to her second child with Scott, 31. “We just didn’t feel like it was him. I just wanted to share because I keep seeing Wolf everywhere,” she added, along with a praying hands emoji. The mum-of-two has yet to announce her baby’s new name or if she has also changed his middle name to Jacques.