He is now out of intensive care at Mayday Hospital having suffered a broken leg and smoke inhalation.
Detectives are treating the case as arson and have not released the name of the patient. They were hoping to interview him by the end of the week.
The Guardian reported last Thursday how a blaze was started at a house in Coombe Road, Croydon, at around 1pm on Tuesday, April 4.
Fire crews arrived after the man had clambered to a window on the third floor and apparently jumped into a yard at the back of the building.
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