Ava LaRynn -- who was due in August -- is Jones' second child, as she already has 6-year-old daughter from a previous relationship.
"At home getting back into baby mode, it's been 6yrs," Jones added on her Twitter page.
Jones and Davis wed last October at the Beverly Wilkshire Hotel. She subsequently confirmed in May that she was pregnant with her second child and first with Davis.
The 29-year-old Jones finished fourth during Idol's Spring 2007 sixth season.
(Photo credit Fox)
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