A South Australia Police spokesperson told news.com.au they had "nothing further to add".
Cowell District Hospital has been contacted for comment.
One of the police officer's colleagues, who asked to remain anonymous, said the man "posted (a) 'f*** you' msg (sic) to SAPOL" on Facebook moments before he died
"The messages said F*** SAPOL and some other comments," the source said.
The man, who news.com.au has chosen not to identify, has been described on social media as "a well respected officer, and former ADF member, who will be missed by many".
"This bloke was and will forever remain a dead set legend," another person wrote.
"No one saw it coming. We got the watch now brother."
"We are all better people having known you," another said.
News.com.au last month reported a lack of welfare support and subsequent mental health crisis within the Australian Federal Police after an agent was believed to take her own life in the Melbourne headquarters on February 7.
The reports prompted several state police officers to also come forward and highlight that a lack of welfare support for work-related mental health issues including Post Traumatic Stress Disorder was also a problem in state policing.
"South Australia has just seen one of their officers (take her own life)," one police officer told news.com.au.
The source was referring to constable Sharryne Grant, South Australia's longest serving female police officer, who died by suicide in Adelaide in October last year.
"Suicide within the ranks is being ignored state wide," he said.
"Cops can't speak out, because they are crucified by management.
"(Instead they) suffer in silence."
Blue Hope director Mark Kelly told news.com.au the organisation had received "nearly 50 referrals from struggling police since Christmas".
"We are under the pump trying to meet demand," he said.
If you have information on issues within the AFP please contact
megan.palin@news.com.au.
Where to get help:
• Lifeline: 0800 543 354 (available 24/7)
• Suicide Crisis Helpline: 0508 828 865 (0508 TAUTOKO) (available 24/7)
• Youthline: 0800 376 633
• Kidsline: 0800 543 754 (available 24/7)
• Whatsup: 0800 942 8787 (1pm to 11pm)
• Depression helpline: 0800 111 757 (available 24/7)
If it is an emergency and you feel like you or someone else is at risk, call 111.
• Canterbury Support Line: 0800 777 846