The 2008 Indy 500 winner's father Ron, said the baby was due in July but the couple did not yet know if it was a boy or a girl.
Ron Dixon told the Herald on Sunday they were happy to wait until the baby was born to find out the sex.
The paper said Dixon had earned about $26.6 million on the Indy Racing League circuit in the past six years and were apparently buying a new private plane -- a twin-turbocharged Cessna 400 billed as "the world's fastest fixed gear plane".