The couple's representatives have confirmed the happy news to People magazine but there are no details about the date of birth, the sex of the baby, or a name.
"Both mother and baby are happy and healthy," the announcement reads.
Jodie confirmed she was expecting the"Dawson's Creek" star's first child in December 2019 and he recently revealed his wife was due any day.
In a chat with "Good Morning America" last month, March 2020, Jackson said, "We are (expecting), like, tomorrow, kind of... The next time I go to work, I'm going to be a daddy."
He was also keen to point out that everything was good amid the COVID-19 pandemic. "Physically she's (Jodie) fine and the baby's healthy...," he explained. "Obviously, it's a bit stressful right now and we're just trying to figure out how to be smart about being quarantined and how to interact with the medical system right now. It's a little bit difficult, so we're figuring it out day by day."