Mark Woolley, 58, died of cancer at HMP Wayland in February last year, a Prisons and Probation Ombudsman report confirmed this week.
Woolley was jailed for life in 2001 for the murder of 42-year-old costume designer Elizabeth Sherlock near Euston station.
His partner had snatched Mrs Sherlock’s designer bag before jumping into his Ford Fiesta.
Mrs Sherlock pursued the thief and jumped on the car as it sped off.
Woolley was said to have smiled and sped off as Mrs Sherlock was thrown into the air and run over.
As their victim lay dying from multiple injuries, Woolley dumped the Fiesta and used Mrs Sherlock’s bank card to withdraw £100 to buy crack cocaine and heroin.
Recorder of London Michael Hyam told him: “You killed her by deliberately driving over her at a time when you were eking out a worthless existence by thieving to buy drugs.
“You killed her by deliberately driving over her at a time when you were eking out a worthless existence by thieving to buy drugs.
“Everyone who understands what you did was sickened by it and everyone who has heard or read about it since must have been appalled by your apparent lack of human feeling for the woman who had every right to try and stop you from getting away with her property.”
Woolley was sentenced to life with a minimum of 16 years but was later released on licence in November 2017.
In February 2018 it was reported that he had gone on the run and had breached his licence conditions.
He was later arrested an address in Hackney and returned to prison.
The Prison and Probation Ombudsman concluded that the clinical care Woolley received in prison was of a good standard and equivalent to that which he could have expected to receive in the community.
He died on February 5 last year.