Antonio Singh Boparan, the heir of Ranjit Singh Boparan - known as the UK's "Chicken King" in reference to his 2 Sisters Food Group's poultry business - caused a crash with a car carrying one-year-old Cerys Edwards in November 2006.
He was convicted of dangerous driving in April 2008.
Edwards, who was left brain damaged from her life-threatening injuries and had been on a ventilator for nine years, passed away last saturday.
"At the first court case I think the judge said if Cerys died they would be looking at death by dangerous driving in the future. He only served six months and Cerys has lost her life," Edwards said.
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"She was left on a ventilator after the crash, she caught a virus and that has killed her. She wouldn't have been in that position if it wasn't for the crash. He is scum. I will leave it to the police but I would like to see him face new charges. In my mind, that would be only right and proper," he added.
A campaign by her parents for tougher sentences for dangerous drivers led to the then Justice Secretary Jack Straw proposing an increase in the maximum two-year jail term for dangerous driving to five years, leading to a landmark change in the law.
Cerys was also awarded 5 million pound compensation in 2012, along with a guaranteed annual payout of 450,000 pound to help pay for her care bill.
"Antonio remains deeply remorseful of his actions as a teenager nine years ago and their tragic consequences. No words can appropriately convey the extent of his sorrow and regret at hearing this terrible news today," a spokesperson for the Boparan family said.
The UK's Crown Prosecution Service (CPS) said it would need a further file of evidence from the police for it to consider charging Boparan with causing death by dangerous driving.
Boparan was convicted again this year for his involvement in a Birmingham bar fight last year which left one man blind.