Most of the fighters left in Baghouz are foreigners, the SDF has said, among the thousands drawn by IS leader Abu Bakr al-Baghdadi's promise of a new jihadist utopia straddling the Iraqi-Syrian border and expunging national borders.
He said Syrian Democratic Forces (SDF) had cornered the remaining militants in a neighbourhood of Baghouz village near the Iraqi border, and they were under fire from all sides.
Dino, a 26-year old fighter who has battled jihadists for years, said on Monday he was glad the battle was drawing to an end.
Thousands of people have streamed out of the so-called "Baghouz pocket" in recent weeks, but no civilians have made it out in the last 3 days.
"It's been two days since anyone came out", an SDF fighter told AFP.
A spokesman for the US-led coalition said IS was using these women and children as "human shields".
US President Donald Trump stunned allies in December when he announced all 2,000 US troops would withdraw from Syria as IS had been defeated.More news: Alabama newspaper calls for KKK 'to night ride again'
The UN on Tuesday expressed concern over "the situation of some 200 families, including many women and children, who are reportedly trapped" in the Daesh holdout.
Syria's Kurds have repeatedly called for their countries of origin to take them back, but these nations have been reluctant.
The spokesman said foreigners were among leaving but did not specify their nationalities or if they were civilians or fighters. "We did not know our enemy very well but today we know them intimately". "Baghuz with a number of civilians they hold hostage and refuse to release", he said on Twitter on Saturday.
"The US does not want to watch as these ISIS fighters permeate Europe, which is where they are expected to go". This comes on the heels of President Donald Trump's repeated intent to as quickly as possible withdraw some 2,000 USA troops from Syria-despite opposition from much of the American defense establishment which argues the resulting vacuum will be filled by Russian Federation and Iran while possibly allowing ISIS to regroup.
Trump's tweet prompted a reaction from Paris, Brussels and Berlin.
But the prospect of the United States' withdrawal from Syria has forced France to prepare for the return of dozens of French jihadists held by US-backed Kurdish authorities, Interior Minister Christophe Castaner acknowledged in late January. If suspected jihadis return to France, "they will all be tried, and incarcerated", he said.
In Belgium, justice minister Koen Geens called for a collective "European solution" to the problem of foreign fightera, urging a solution that carries the least security risks.More news: Vandals desecrate 90 Jewish graves in east France ahead of marches
In Germany, foreign ministry sources said "the federal government is examining options to enable German citizens to leave Syria, especially in humanitarian cases".
Though Islamic State fighters still hold out in a patch of desert in central Syria, and have staged guerrilla attacks in areas they have lost in both countries, their territorial state there is finished.
They have scrambled to seek a new ally in Damascus after spending most of Syria's conflict working towards self-rule.
Nearly eight years into a civil war that has killed more than 360,000 people and displaced millions, Baghouz is the main front in the conflict.
Assad on Sunday warned the Kurds that the United States would not protect them against Turkey.
However, Islamic State has carried out attacks in areas it controls and numerous Western and Middle East officials have said it still poses a threat.More news: Meghan Markle New York baby shower: Duchess arrives at The Mark