Police are investigating whether an 87-year-old woman found badly injured and crawling along the ground on Tuesday night was the victim of a hit and run.

It is believed the woman was struck near the intersection of Hughes Parade and Allenby Avenue in Reservoir about 6.20pm.

Paramedics were called after a local resident discovered the injured woman crawling along the ground.

The woman was taken to the Royal Melbourne Hospital with a suspected fractured sternum, broken nose and fractured pelvis.

She is believed to be in a stable condition.

While the circumstances of the collision remain unknown, police are seeking the driver of a white ute seen shortly after the incident.

Police believe the driver may be able to provide further information to assist investigations.

Anyone who has information regarding the collision is urged to contact Crime Stoppers on 1800 333 000 or visit www.crimestoppers.com.au.