The coronial inquest into the deaths of South Australian man Robin Michael, 63, and North-West man Troy Monson, 42, will start on August 26.

Coroner Simon Cooper told the Hobart Magistrates Court on Friday that eye witnesses, such as inmates and ex-inmates would be called to give evidence over three days.

Mr Michael was found dead inside his medium security Risdon Prison cell on June 29.

He had been accused of killing his wife Kerry on Mount Roland in February.

Mr Monson was found dead inside the back of a prison van travelling from Launceston to Hobart on June 22.

Both inmates are believed to have died by suicide.

Mr Cooper said earlier this month that there was a clear public interest in determining whether the requisite duty of care had been carried out.

"If there are systemic problems that have played a role in their deaths then those problems should be identified sooner rather than later and it is essential they be addressed sooner rather than later," Mr Cooper said.

He said there were ''compelling reasons'' as to why the inquest should be dealt with quickly.

The inquest will examine the standards of supervision, officer training, and transport and accommodation standards.

The evidence will be dealt with in three blocks, starting with detainees who were eyewitnesses.

Mr Cooper said he hoped to hear all evidence by Christmas, and the evidence of the detainees by the end next month.