Goodman was convicted in the 2010 death of 23-year-old Scott Wilson, who died after Goodman drunkenly crashed his Bentley into Wilson's car.
Earlier this month, Palm Beach County Circuit Judge Jeffrey Colbath vacated Goodman's conviction and 16-year-prison sentence after Goodman's legal team discovered one of the jurors failed to disclose his ex-wife's DUI arrest, the South Florida Sun Sentinel reported.
Goodman's next court date is June 3, and attorneys may discuss the start of a new trial or a possible plea deal.
Attorney Doug Duncan submitted the motion seeking the bail change Tuesday.
"This right to pretrial release is based upon the fact that an accused is presumed innocent, and may not be punished until he has been lawfully convicted," Duncan wrote.
The pretrial bail conditions would include $100,000 bail, freedom to travel anywhere in the U.S. with prior notice, random drug testing, no driving and reporting to the court system by telephone once a week.
Former lead prosecutor on the case, Ellen Roberts, said the bail change is not a good idea.
"He has greater reasons to flee now," said Roberts, who retired after the Goodman trial. "I wouldn't let him out."
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