The health guru and broadcaster was holidaying on the Greek island of Symi when he went missing last Wednesday, sparking an enormous days-long search.
His body was found on Sunday.
Mosley is believed to have died two-and-a-half hours after embarking on a walk that would turn deadly when, taking a wrong turn, he began a hazardous hike through rocky ground in scorching heat.
An initial autopsy concluded that Mosley died from natural causes and that there were no injuries on his body that could have caused his death.
The head of the Hellenic Society of Forensic Medicine, Grigoris Leon, told The Guardian he expected the body to be repatriated to the Mosley family within days.
“Usually it’s only a matter of time once a postmortem is conducted for a body to be released,” he said.
“That means in this case it’s a question of days before repatriation takes place.”
But Leon said it was likely to take at least two months before the tests came back because Greece has only three laboratories to carry out the advanced analysis.
The BBC announced it will air Mosley’s final conducted interview on Friday as a part of the There’s Only One Michael Mosley show in tribute to the 67-year-old.
Meanwhile, two tourists – one from the United States and one from the Netherlands – have disappeared while hiking separately in Greece.
A 59-year-old American man, who has been named as Albert Calibet, disappeared on the island of Amorgos on Tuesday while following a route toward the village of Katapola, the Amorgos municipality said on its official social media.
And on the island of Samos, a 74-year-old Dutch tourist has been missing since Sunday, with a large search and rescue operation underway, authorities said.
The man had gone hiking in the Marathokampou area of the island, the Hellenic Rescue Team of Samos said in a post on Facebook.
Greece is currently enduring a blistering heatwave that looks set to peak on Friday, according to the Hellenic National Meteorological Service, which has released an orange warning for heat – the second-most serious designation.