Simpson was acquitted of the 1994 killings of his ex-wife, Nicole Brown Simpson, and her friend Ronald Goldman in Los Angeles. But he was found liable for their deaths in a civil case in 1997 and ordered to pay the victims' families US$33.5 million ($46.47m) in compensatory and punitive damages - therefore finding Simpson responsible for the murders.
David Cook, attorney for the Goldman family, said on Wednesday the judgment amount has nearly doubled with interest over the years to more than US$65m and the family will continue to seek payment.
The jury also awarded Brown and Simpson's two children US$12.6m from their father as recipients of their mother's estate.
Throughout the "trial of the century" Simpson was supported by his friend and lawyer Robert Kardashian, the father of Kim, Khloe and Kourtney Kardashian.
In post-trial interviews a few jurors said they believed he did commit the murders but the prosecution had failed to prove its case.
A Florida corrections spokeswoman, Ashley Cook, said her agency has not received a transfer request or documents about Simpson. Officials have said previously that they must accept the transfer if Nevada's request meets the criteria.
He becomes eligible for release today. Release plans need to be finalised for Simpson to be freed, perhaps as early as tomorrow in Las Vegas, Nevada prisons official Brooke Keast said.
Simpson won parole in July after serving nine years of a possible 33-year sentence for his 2008 conviction on armed robbery, kidnapping and other charges.