What happens if your Uber driver gets into an accident? Ask a Los Angeles Uber accident attorney. C and M Injury Lawyers knows the answer. While a passenger in an Uber accident, you are fully protected if the driver is involved in an accident. Uber has both liability insurance and Uninsured Motorist coverage that will provide you with benefits. Whether the accident was the fault of the Uber driver or another motorist, you will be protected in terms of sufficient insurance coverage.