David Lilburn, 51, was ordered to serve a minimum of 19 years after he was found guilty of murdering Ann, 43, at their home in Paisley, Renfrewshire, after she was stabbed 86 times.
Lilburn's lawyers said he should be convicted of the lesser charge of culpable homicide on the grounds of diminished responsibility.
His trial at the High Court in Glasgow in 2008 heard a "black shadow" had told him to commit the crime.
An earlier appeal was rejected by judges at the Court of Criminal Appeal in Edinburgh but Lilburn's case has now been referred back to the court by the Scottish Criminal Cases Review Commission. The SCCRC said it was referring the case "on the basis of fresh psychiatric evidence that his responsibility was diminished".
Advocate depute Gillian Wade QC told Lord Eassie, sitting with Lord Bracadale and Lord Wheatley, that it was anticipated that it was an appeal in which evidence would require to be led.