The woman's Jack Russell dog, which was thrown from the vehicle during the incident, has since been found uninjured.
It was found at a house in the area and taken to the RSPCA.
A woman with a suspended licence suffered minor injuries after falling asleep at the wheel and rolling her car on the Great Ocean Road on Tuesday afternoon.
A Port Campbell police spokesperson said the 42-year-old woman, from Western Australia, was travelling east-bound between London Bridge and Port Campbell about 3.50pm when she appeared to fall asleep at the wheel.
She then drifted off the road for about 70 metres before correcting the vehicle, losing control and rolling several times onto the incorrect side of the road.
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The woman suffered just minor injuries from the incident, which was attended by crews from CFA, SES and Ambulance Victoria.
Emergency services were able to easily extricate the driver from the Toyota Hilux motorhome and took her to Warrnambool Base Hospital for observation.
The woman's Jack Russel terrier was thrown from the vehicle through an open window during the incident.
Anyone who sees a small brown and white dog in the area should contact Port Campbell police on 5598 6310.
Pending bloodwork, a Port Campbell police spokesperson said the woman faces being charged with drink driving, careless driving and driving with a suspended licence.
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