Home Affairs Minister Peter Dutton has suggested he would rather see Neil Prakash, Australia's most infamous Islamic State recruit, serve a lengthy jail term in Turkey than have him return to Australian soil under an extradition request.

Mr Dutton stated the preference — which suggests the government's extradition request is now being treated as a fallback option — after Prakash was stripped of his Australian citizenship over his association with the terrorist group.

Neil Prakash, who is also known as Abu Khalid al-Cambodi.

The 27-year-old Prakash, who is currently imprisoned in Turkey on multiple charges, is the 12th dual citizen to lose their Australian citizenship because of terrorism-related activities.

The Melbourne-born man has featured prominently in Islamic State propaganda videos and has been linked to terrorism plots and recruitment activities in the Western world, including Australia.