Just days after musician Travis Barker revealed his wife Kourtney Kardashian’s due date, reports are claiming the couple has welcomed their first baby together. Earlier this week, the Blink-182 drummer shared that the reality star was due to give birth on Halloween or in the first week of November. Now, a source has exclusively confirmed with PEOPLE that the couple’s little one has arrived.

Before the report to PEOPLE, many people were speculating that Kourtney had given birth after Travis and Kourtney’s sister Kylie Jenner were spotted at a hospital in Los Angeles. This week, along with revealing Kourtney’s due date, Travis shared the name he and the Lemme founder were going to name their little one, who they revealed in June would be a boy. The couple plan to name their son Rocky Thirteen Barker, which was shared on the One Life One Chance podcast.

While this newborn is the couple’s first baby together, they each have children from previous relationships. Kourtney shares Mason Dash, 13, Penelope Scotland, 11, and Reign Aston, 8 with her ex Scott Disick. Travis has two biological children from his marriage to Shanna Moakler, Landon, 20, and Alabama, 17, and is also still close with his former stepdaughter Atiana, 24.

Should these reports be true, we wish Kourtney and Travis a huge congratulations on the arrival of their first baby together! We look forward to hearing their official announcement of their son’s arrival and if the name Rocky Thirteen was indeed the right choice for their son. After all, it wouldn’t be the first time a KarJenner has changed the original name of their little one.

Kate Fann (she/her) is the BabyNames.com celebrity blogger, as well as an established content writer, aspiring author, and social media expert. She has been featured in online publications such as Bolde, ManoByte, Medium, The Social Observer, and more. Kate has ghostwritten numerous romance novels and is currently working on publishing her own works in the Young Adult genre.

Kate lives in East Tennessee with her husband Casey and her two sons, Quinn and Noah. When she's not writing or scrolling Instagram, Kate can be found tasting delicious wines, playing with make-up, baking yummy treats, or hiking the beautiful Smoky Mountains.