USA -backed SDF mliitants captured the Omar oil field - Syria's largest oil field, located on the eastern bank of the Euphrates river - from Daesh terror group in October 2017.
Iraqi sources said the SDF handed over more then 150 Iraqi and other foreign jihadists to Iraq on Thursday, under a deal involving a total of 502.
In recent days, civilians have been evacuated from the village.
Baghouz is all that remains for Islamic State in the Euphrates valley region that became its final populated stronghold in Iraq and Syria after it lost its major cities of Mosul and Raqqa in 2017.
The 2015 attacks killed 130 people and wounded 494.
The French defence and foreign ministries have not confirmed whether the jihadist was killed.
The Baghouz enclave's recapture by US -backed Syrian fighters would spell the territorial defeat of IS and allow Trump to begin withdrawing American troops from northern Syria, as he has pledged to do, opening a new chapter in Syria's eight-year civil war.
The group has steadily turned to guerilla warfare and still holds territory in a remote, sparsely populated area west of the Euphrates River - a part of Syria otherwise controlled by the Syrian government and its Russian and Iranian allies.
Bali told Reuters the SDF would attack Baghouz once the civilian evacuation was complete. The US-led coalition said "the most hardened Islamic State fighters remain in Baghouz".
Adnan Afrin, a spokesman for the SDF, told AFP that the attack killed mostly oil workers, as well as fighters from the us -backed force battling ISIS in eastern Syria.
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A Reuters witness saw warplanes in the sky over Baghouz on Thursday though there was no sound of fighting or shelling.
The U.S. has partnered with the SDF, predominantly led by the YPG, in its fight against Daesh terror group, despite warnings from Turkey against the repercussions of using one terrorist group to defeat another.
An SDF spokesman said the attack killed mostly oil workers, as well as fighters in the village of Shheel close to an oil field acting as a base for the anti-IS force.
SDF and coalition forces are recording the names and questioning everyone who has left in the civilian convoys. "He and his brother were rappers before, so they contributed also in creating religious songs for the Islamic State group, which aimed to recruit more and more people", he added.
Fabien Clain, who was killed in an air strike in Syria, according to French media, was the most senior Frenchman in the Islamic State (IS) group, best known for an audio recording in which he claimed responsibility for the November 2015 Paris attacks. "But we have a few foreigners".
The militant group still poses a threat in Iraq and some western officials believe that the group's leader, Abu Bakr al-Baghdadi, may still be hiding there.
Complicating efforts, SDF officials and observers on the ground say IS fighters, either from Baghuz or from sleeper cells located nearby, have launched a series of counterattacks on the outskirts of Baghuz and in nearby areas.
The attack took place near the town of Al-Shahil in the southeast of oil-rich Deir Az Zor province that borders Iraq.
Fabien Clain, a veteran French ISIS operative, claimed responsibility for the attacks in an ISIS audiotape released the day after the attacks. But interior minister Sajid Javid said he would not take a decision that would leave anyone stateless, after Bangladesh said it would not accept her.
An Alabama woman who joined IS in Syria also made headlines after the US said Wednesday she won't be allowed to return with her toddler son because she is not an American citizen.