Fijian Prime Minister Frank Bainimarama insists Australian-born Islamic State member Neil Prakash cannot go to Fiji "because he does not qualify", deepening the stand-off over which country has responsibility for Prakash's citizenship.

Mr Bainimarama's comments come amid a brewing row over Prakash, who has been stripped of his Australian citizenship based on his terrorist activities in the Middle East. He is currently in a Turkish jail facing terrorism charges.

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

Under Australian law, he can only have his citizenship revoked if he holds a second nationality and therefore will not be made stateless.

Mr Bainimarama's comments, reported by the Fiji Sun newspaper, do not make it clear whether he would be barred from entering Fiji because he is not a citizen or simply because he is a terrorist.