Tens of thousands of civilians have fled Raqa and its surroundings since the US-backed Syrian Democratic Forces (SDF) began its operation to capture the jihadist stronghold last year.
But new waves of displacement are expected as the battle inside the city progresses.
A key problem is getting aid supplies to the relatively remote desert region in Syria's north, with just a trickle of assistance currently crossing from neighbouring Turkey and Iraq.
Turkey considers the key Kurdish component of the SDF a "terrorist" group and its border with the area north of Raqa is effectively closed.
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The border crossing with Iraq, over 300 kilometres east of Raqa city, is open to goods, but in practice sees little traffic, local officials say.
The UN's World Food Programme said today it had delivered one month's supply of food for 80,000 people in Raqa, Deir Ezzor and Hasakeh provinces in north and northeast Syria.
But "this offered limited capacity and was insufficient to meet all needs", said David Swanson, regional spokesman for the UN's Office for the Coordination of Humanitarian Affairs (OCHA).
The UN is now hoping to start transporting aid from Aleppo to Qamishli, a distance of more than 400 kilometres, but the route must first be tested for security, said Swanson.
An estimated 300,000 civilians once lived under IS rule in Raqa, including 80,000 displaced from other parts of Syria before the group seized the city.
The UN estimates more than 169,000 people fled Raqa city and its environs in April and May alone, and thousands of displaced civilians are now living in overcrowded and underresourced camps.
In Ain Issa, 50 kilometres north of Raqa, new arrivals say they are sleeping on the ground, with neither mattresses under them nor tents overhead.
"There are now more than 25,000 people in the Ain Issa camp, which was built with a capacity of 10,000," camp director Jalal Ayyaf told AFP.
"International organisations are providing support, but it's not sufficient for the numbers who are arriving."
The "highly volatile security situation" is another major concern for aid groups working in the region, said Paul Donohoe, senior media officer at the International Rescue Committee NGO.
"We know that there are many mines and IEDs (improvised explosive devices), there is also the risk of IS attacks and there have been reports of some fleeing civilians being killed by coalition air strikes."
"It is thought up to half the population of Raqa could ultimately flee the city and they will still be very vulnerable to mines and IS snipers, as well as air strikes."
Fleeing civilians are already presenting health problems ranging from dehydration to untreated chronic illness.
And aid groups expect an uptick in wounded arrivals as the fighting intensifies.
MSF is establishing stabilisation points near the frontline to provide emergency care to keep the seriously injured alive until they reach hospitals.
But there is a severe shortage of qualified medical staff in the region, Leenders said, and medical facilities have also been affected by the fighting.