SAN FRANCISCO (CBS SF) — San Francisco-based ridesharing companies Uber and Lyft announced a new insurance policy on Friday to address concerns over liability for accidents involving its drivers who are working but have not yet picked up passengers.

The change comes after an UberX driver struck and killed 6-year-old Sofia Liu and injured her family members on San Francisco’s Polk Street on New Year’s Eve.

READ MORE: East Bay Rep. Jerry McNerney Latest Not To Seek Re-Election To Congress In 2022

While Uber connects riders to professional drivers with town cars or SUVs, the lower-cost UberX service uses citizen drivers offering rides in their regular vehicles.

Uber had initially asserted that the driver, 57-year-old Syed Muzzafar, was an independent contractor who was not responding to a fare and did not have a passenger in his car at the time of the collision.

Attorney Christopher Dolan filed a lawsuit in January against Uber on behalf of Sofia’s family alleging that the company should be held responsible for the accident.

Uber officials wrote on their website Friday, “Since the tragic accident in San Francisco on New Year’s Eve, there has been much written about an ‘insurance gap.'”

“In order to fully address any ambiguity or uncertainty around insurance coverage for ride-sharing services, Uber is becoming the first and only company to have a policy in place that expands the insurance of ride-sharing drivers to cover (…) accidents that occur while drivers are not providing transportation service for hire but are logged onto the Uber network and available to accept a ride.”

READ MORE: Caltrans Predicts Highway 37 To Be Permanently Flooded by Mid-Century; Seeks Solutions For Vital Corridor

As for Lyft, the company on Thursday sent a statement TechCrunch, saying:

While we do expect personal carriers to cover the time period prior to carrying a passenger, in order to erase any uncertainty, Lyft will now provide additional protection. This new protection will provide backstop coverage to drivers when they are in match mode and are not providing rides. We will be rolling this out state-by-state in the days to come.

Uber’s new policy will provide coverage for a driver’s liability of up to $50,000 per person for injuries suffered in a crash and up to $25,000 per incident for property damage. Uber already provides $1 million coverage for incidents while a trip is in progress.

Dolan, the attorney for Sofia’s family, said Uber’s announcement was a step in the right direction but amounted to “throwing a cup of water on a house fire.”

“They’re in essence saying ‘We, the multimillionaires running this company, are going to value the average everyday person on the street as being worth $50,000,” he said.

Dolan noted that Sofia’s mother has already racked up about $500,000 in medical bills from injuries suffered in the collision.

“When these vehicles cause this type of harm, who’s going to pick up the tab?” he said. “It’s going to wipe out the savings of both the drivers being sued and the passengers and pedestrians who are hurt.”

MORE NEWS: California Prosecutors File Felony Charges Against Tesla Autopilot Driver

© Copyright 2014 by CBS San Francisco and Bay City News Service. All rights reserved. This material may not be published, broadcast, rewritten or redistributed.