David Bain and his wife Liz Davies are expecting a second child, Star Kiwi reports.
The couple, who married in early 2014, had their first child later that year.
In April, it was reported they were selling their Casebrook home and planned to move to Australia.
Bain has also changed his name by deed poll to William David Cullen Davies. Cullen was his mother's maiden name.
Davies declined to speak to The Star.
Neighbours said the for sale signs outside the house had been taken down after several weeks.
In 1995, Bain was found guilty of the murder of his parents, bother and two sisters, but was acquitted in a retrial in 2009.
Last year, a report by Ian Callinan QC found Bain was not eligible for compensation because he "has not established his innocence on the balance of probabilities".
However, he received a voluntary payment of $925,000 from the Government last year.
Justice Minister Amy Adams said it was "in recognition of the time involved and expenses incurred by Mr Bain during the compensation process".
- Star Kiwi
