According to a report in Page Six, multiple outlets reported the baby boy’s birth on Saturday.
It reported that sources also confirmed to People, who broke the news, and insiders later reaffirmed it to TMZ.
Kardashian and Barker have not yet issued a formal statement on their new bundle of joy.
There was speculation that the couple’s son would be born soon since the iconic drummer and reality star’s sister Kylie Jenner were spotted visiting Cedars-Sinai Medical Center in Los Angeles earlier this week.
Kardashian, 44, debuted her baby bump at one of Barker’s band’s Los Angeles concerts in June, holding up a cardboard sign from the audience reading, “TRAVIS IM PREGNANT.”
The duo revealed the sex of their baby boy at a rock ‘n’ roll-themed bash in June.
When Kardashian posted a separate slideshow documenting the party — which came together in under 48 hours — Barker, 47, hinted at their son’s moniker.
“I already know his name 😉,” the Blink-182 rocker wrote, later saying he “like[d] Rocky 13” as an option.
After Kardashian made headlines in September for posting and deleting a baby shower photo featuring the same moniker, Barker “liked” a tweet calling it a “cute” choice — and later confirmed the selection.
That same month, the musician abruptly left Blink-182’s European tour to be his wife’s “rock” as she underwent “urgent fetal surgery.”