The Holy Name of Jesus Cathedral will be constructed off Centennial Parkway, and will be the mother church for the entire 54-county Diocese of Raleigh.
Burbidge also spoke about the fundraising campaign at a lunch attended by reporters. The church is nearly to its $41 million goal to cover construction costs.
Architect James O'Brien designed the new building. His work includes other houses of worship in Virginia and North Carolina.
An artist's rendering shows a large building with a massive dome over the transept and a separate bell tower.
Officials plan to break ground on the new building later this year.