Fishing for snapper in South Australia may be banned until 2023 to allow "decimated" populations to recover.

The State Government said stocks have declined by 87 per cent in Gulf St Vincent, and 23 per cent in the Spencer Gulf.

A state-wide closure from October this year until February 2023 has been proposed in a consultation paper released by Primary Industries Minister Tim Whetstone, with the possibility that a limited season could be opened in the south-east.