The couple and their 5-year-old daughter, Annabelle, left for the U.S. three weeks ago ahead of the birth.
Their decision for surrogacy came after it was deemed "far too dangerous" for Obermeder to become pregnant again due to her battle with breast cancer in 2011.
The 42-year-old was diagnosed with the illness at 41 weeks pregnant and given a clean bill of health after eight months of chemotherapy.
“I’ve been told in no uncertain terms that it’s far too dangerous for me to be pregnant again, in terms of the cancer returning,” she told New Idea prior to announcing their decision.
In July, the TV personality and her family shared they were expecting a second child via surrogacy on Instagram.
In the family photo, their daughter held a sign reading "I'm going to be a big sister", alongside the caption: "Yes it's true. Thrilled to bits to share that @marcusobermeder and I are adding to our family thanks to the most incredible surrogate."
This article originally appeared on Instyle