"The sentence of death pending on... Iraqi Sajida al-Rishawi will be carried out at dawn," a security official said on Tuesday, speaking on condition of anonymity.
Rishawi is thought to be behind an attack on a hotel in Jordan in 2005.
ISIL had offered to spare the life of the Jordanian fighter pilot, Lieutenant Maaz al-Kassasbeh, if she were released.
The 22-minute video, which surfaced on social media on Tuesday, showed the pilot being burned to death. He was seen dressed in an orange jumpsuit and surrounded by flames inside a metal cage.
Kassasbeh was captured by ISIL on December 24, 2014, after his F-16 jet crashed while flying over northern Syria on a mission against the terrorists.
Amman had pledged to save the serviceman after ISIL declared decapitation of a Japanese hostage.