Despite outrage in Canada, Allyson McConnell is expected to soon board a flight for Australia after serving 10 months in an Alberta hospital psychiatric ward for drowning her young sons in a bathtub.

While travel details have not been released, McConnell, from Gosford on the NSW Central Coast, is likely to be on a plane on Monday, touching down in Sydney on Wednesday (AEST).

This has outraged McConnell's former husband, Curtis McConnell, who discovered his sons, 10-month-old Jayden and two-year-old Connor, floating lifeless in the bathtub of their home in Millet, Alberta, in 2010, with McConnell's wedding ring left beside them on a toilet.

Alberta prosecutors and politicians were also upset about McConnell's release.

At the non-jury trial last year, the judge found McConnell not guilty of the second-degree murder of the boys, but guilty of their manslaughter, and sentenced her to six years' jail.

With time served and credits, McConnell spent 10 months in the hospital.

Appeals against the not guilty murder verdict and sentence were lodged and Mr McConnell and prosecutors had hoped McConnell would be forced to stay in Canada until they were heard, but Canadian authorities ordered McConnell to be deported.

Alberta Justice Minister Jonathan Denis said on Monday he wanted McConnell returned to Canada if the appeals were successful.

"We will be in contact immediately with Australian officials and have her brought back to Canada so she can serve the rest of her time here," Mr Denis told the Canadian Broadcast Corporation.

"Under the treaties that we have, my understanding is that if the sentence was overturned in favour of some larger sentence, Australia would be required under these conventions to bring her back to Canada to pay her debt to the province."

McConnell, 34, met her Canadian husband in 2006 when they were working at a ski resort in British Columbia.

They married, but after the birth of Jayden the marriage broke down. Mr McConnell filed for divorce and successfully blocked McConnell from taking their sons to Australia.

McConnell has battled depression and admitted she drowned the boys.

However, the judge who heard the murder trial found there was reasonable doubt McConnell "had the specific intent to kill her children".