Mustafa Bali said the Kurdish-led Syrian Democratic Forces made the advances overnight and on Sunday, hours after they launched a final push to clear the area from IS militants Saturday night.
The final battle to clear the village of Baghouz is now playing out after 20,000 civilians were evacuated from the area in the eastern province of Deir-el-Zour over the past few weeks.
Bali said heavy fighting was going on inside Baghouz on Sunday, adding that an IS counterattack was foiled early in the day. He did not say how long the battle was expected to last. U.S.-led coalition warplanes are giving cover to advancing SDF fighters.
U.S. President Donald Trump predicted Wednesday that the Islamic State group will lose by next week all the territory it once controlled in Iraq and Syria.
That would mark the end of a four-year global war to end the extremist group's territorial hold over large parts of Syria and Iraq where the group established its self-proclaimed "caliphate" in 2014.
U.S. officials have said in recent weeks that IS has lost 99.5 percent of its territory and is holding onto fewer than 5 square kilometers in Syria, or less than 2 square miles, where the bulk of the fighters are concentrated. But activists and residents say IS still has sleeper cells in Syria and Iraq, and is laying the groundwork for an insurgency . The U.S. military has warned the group could stage a comeback if the military and counter-terrorism pressure on it is eased.
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