"Most of our patients are displaced people," Dr Sukkar says. "They live in shelters, they even live in tents in the streets."
Since a ceasefire collapsed a month ago, thousands of Gazans have once again left their homes and fled to this neighbourhood, seeking safety.
With little food and clean water, there is a rise in malnutrition and diseases - from stomach bugs to scabies. The elderly and young are worst affected, and the first patients of the day are babies with viral infections.
"We receive a lot of children who suffer from upper respiratory tract infections and diarrhoea. In the shelters, there are a lot of children in the same place and a virus can spread very quickly," the doctor explains.
One toddler has his face dotted with mosquito bites and Dr Sukkar administers some soothing cream. As cooking gas has run out, families have taken to using open fires to heat food and this has also led to an increase in serious burns.
Within an hour, Dr Sukkar and three other physicians have seen dozens of patients. But there are many whom they struggle to help.
"We have more and more challenges with the huge number of patients with less and less medical supplies," Dr Sukkar says wearily.
"Also, we receive complicated cases, and we don't know where to refer these patients because the health system in Gaza has collapsed."
There has been an influx in seriously wounded patients arriving at the clinic since last Sunday, when Israeli warplanes attacked al-Ahli Arab hospital in Gaza City.
Israel accused Hamas of using a hospital building as a "command and control centre"; something the armed group denied.
Al-Ahli - which was the main medical site for treating trauma in northern Gaza - can no longer accept patients. The WHO says the emergency room, laboratory, X-ray machines and pharmacy were destroyed.