The man who caused Rebecca's death had 89 previous convictions
An MP from the north-east of England has said tougher sentences for killer drivers must be introduced "urgently".
Wansbeck Labour MP Denis Murphy told fellow MPs there should be new laws to "lock away" drivers who "maim and kill".
His plea follows the New Year's Eve death of six-year-old Rebecca
Sawyer, killed when her family's car was hit by a banned driver at the wheel of a stolen car.
Ian Carr, 27, from Ashington, was sentenced to nine-and-a-half years in prison after admitting causing death by dangerous driving.
Carr had 89 previous convictions and was already banned from driving for life.
Mr Murphy said: "We need to send out a clear message that society will not tolerate people who use a motor vehicle to maim or kill.
It is my opinion that people like Carr will continue to pose a threat to the public
"Carr ... should be locked away for the rest of his natural life, or at least until he and people like him no longer pose a threat to society.
"It is essential that we change the law to ensure no more families suffer the same fate as the Sawyer family."
Repeating the views of Northumbria Police Chief Superintendent Bob Pattison, Mr Murphy called for the Government to introduce a new offence of aggravated death by dangerous driving punishable with a life sentence.
He said "aggravating" factors would include driving whilst already
disqualified, failing to stop for police, driving under the influence of drink or drugs, having no insurance, driving a stolen vehicle.
He added: "It is my opinion that people like Carr will continue to pose a threat to the public.
"A life sentence would reflect the terrible nature of the crime and also
ensure that they would be monitored after release for the rest of their
Mr Murphy urged Parliament to consider other recommendations, including raising the maximum sentence for causing death by dangerous driving without any aggravating features to 14 years from the present 10.
He also called for a big increase in the maximum sentence, where serious injuries are caused, from the present two years.