The 27-year-old, who had a high-profile romance with American reality star Kim Kardashian, revealed the news on Florida's Paul and Young Ron Morning Show earlier this week.
"I have a little one on the way," said Bush. "We're pretty excited. It's an opportunity to bring in new life and raise a child. I look forward to it, and to building a family."
Bush, who has been with his other half for a year, claimed that he hopes for a boy.