A court hearing will be held in Brussels on January 9 to "examine the request" to transfer Abrini from Belgium to France, the federal prosecutor's office said in a statement.
In March, Belgian police arrested the 31-year-old Abrini, a key suspect in the Paris attacks last November 13 in which 130 people were killed.
He also turned out to be the so-called "man in the hat" seen in CCTV footage with two bombers shortly before they staged the Brussels airport assault on March 22.