"Raqqa is surrounded on three sides, we are moving forward every day. We have already managed to recapture a number of districts from Daesh," Yunus said.
"Terrorists carry out attacks using vehicles loaded with explosives, however we are destroying them before they reach our positions. Civilians continue to flee the city towards the safe zones we have set up. I can't say for sure how many thousands of civilians have fled Raqqa at this time, but generally speaking half the population has already left the city."
The Syrian Democratic Forces, which predominately consists of Kurdish fighters but also includes members of the Syrian Arab Coalition, began its final assault on Daesh fighters in Raqqa last week.
The SDF is backed by the US-led coalition, and it was earlier reported that the Pentagon had deployed several marine units to the area, in addition to having previously deployed 500 special forces troops.
On Wednesday, the UN warned that the intensification of US-led airstrikes paving the way for SDF advance has resulted in "staggering loss of civilian life," and some 160,000 people becoming internally displaced.
Raqqa and the Iraqi city of Mosul were captured by the internationally-condemned terrorist group in 2014 and served as the two strongholds of its self-proclaimed caliphate.
In addition to the Raqqa operation, the US is also backing an Iraqi-led campaign to liberate Mosul from Daesh, which was launched in October 2016. On Tuesday, Iraqi officials also declared the imminent liberation of Mosul from Daesh.