"We’re so super duper excited about this awesome news, especially at this time and amongst the mainly bleak news out there.
“What a blessing. We’re so unbelievably grateful and happy!”
Jess and James were first linked together on Valentine’s Day in 2019, when they were spotted heading out for dinner in Los Angeles.
She relocated to La La Land after living in New York City for 15 years, following her move to the US from Australia in order to pursue her modelling career.
Earlier this year, she bought a house in the Hollywood Hills, further cementing her roots in the Californian city.
“I bought a house and I’m stoked!” Jess wrote on Instagram at the time.
Jess, who is the founder of natural beauty brand LUMA Beauty and has appeared in several Victoria’s Secret runway shows, previously dated billionaire Stavros Niarchos III.
This is James’ second child. He has a young daughter, named Wren, from a previous relationship.