Prosecutors will argue for the 73-year-old Ligambi to remain in prison until his retrial later this year. He's been in custody since his 2011 indictment.
Defense lawyers argue that the jury last month acquitted Ligambi of many of the underlying counts in the gambling and loansharking case.
But prosecutors say in a filing Friday that Ligambi has a history of arrests and no real employment.
U.S. District Judge Eduardo Robreno has revoked bail for two underlings convicted in the case, and declined to release Ligambi nephew George Borgesi to await a retrial.
Authorities believe Ligambi took over Philadelphia's La Cosa Nostra in 1999 after Joseph "Skinny Joey" Merlino went to prison.