A legalised drug injecting room in Richmond is unlikely to get the backing of the Andrews government, despite strong support for it within cabinet.

Coroner Jacqui Hawkins is expected to soon publish her findings into the death of a 34-year-old mother in north Richmond.

The coroner is expected to recommend a supervised drug-consumption room.

Ahead of the report's release, a group of community and medical groups have backed Sex Party upper house MP Fiona Patten's push for a drug room in Richmond, where 34 people died last year of overdoses.