A Bahamas official said he faced fraud charges for the bitcoin exchange's failure.
The Bahamas' acting corrections commissioner, Doan Cleare, told Reuters the documents were signed Tuesday at midday.
A US-based Bankman-Fried lawyer did not reply to calls for comment.
Bankman-Fried intends to consent to extradition, according to a source.
Bankman-Fried admits FTX risk-management shortcomings but denies criminal culpability.
On December 13, Bankman-Fried was detained in the Bahamas, where FTX was based.
Over the weekend, Reuters and other outlets indicated that he will reconsider his extradition decision.