Police have asked for the public's help to find an unknown man who drove a woman to a western Sydney hospital with gunshots wounds.

The man drove a white Mercedes-Benz into the ambulance bay of Bankstown Hospital last month, stopping the vehicle and running to the passenger side door, CCTV footage released by NSW Police shows.

The man can be seen assisting the woman, before paramedics come to her aid.

As the paramedics begin rendering aid to the woman, the man can be seen running away from the hospital, leaving the car in the ambulance bay.

The woman remains hospitalised almost one month after the shooting with significant injuries including a suspected severed spine and organ damage.

On Wednesday, police appealed to the public to help them find the man.

He is described as about 175cm tall with a medium build, dark beard and Mediterranean or Middle Eastern appearance.

In the footage, he wears a black hoodie and black shorts over full-length training tights.

Police formed Strike Force Chelston to investigate the shooting, with members of the State Crime Command's Robbery and Serious Crime Squad assisting local detectives.

They believe the shooting took place at a home in Condell Park in southwest Sydney, about five minutes' drive from the hospital.

Police established a crime scene at the home, where they found a number of bullet holes and casings.