"Police have not retained an interest in this property, post the forensic examination that was completed at the time of the offending."
The property is owned by Harcourts International co-owner Paul Wright. He did not want to comment.
The murder accused is also charged with unlawfully taking Tuxford's car and entering the property without permission with a knife and using it as a weapon.
Details of the high-profile case have been heavily suppressed in the High Court.
Earlier this month police ordered the administrators of a web page to remove content relating to the homicide because they breached suppression orders.
The move prompted a warning suppression orders are there for a reason, and any further breaches may result in prosecution.
In a statement released last month, Tuxford's family said they were "broken" by the tragic loss.
The Exeter St house where Nicole Marie Tuxford was allegedly murdered has been demolished. Photos / Martin Hunter
"Nicky was a funny, bubbly character who lit up a room with her personality and made other people laugh. She loved people and had ambitions to work as a counsellor so she could help others."