An Australian man who joined Islamic State last year has reportedly been killed in Syria.

Sharky Jama, a former model from Melbourne, was shot in Syria, and previously lived in Fallujah, an Iraqi city taken over by Islamic State militants, SBS reported on Wednesday night.

Mr Jama's father, Dada Jama, had been told by someone from Syria that his son had been shot. He believed the news when he tried to call his son's phone, and was sent straight to his voicemail.