She also told AFP that "The impact on children, women and families will be catastrophic".
Advances have slowed after some swift initial gains in the extreme east, mostly because some 1 million civilians remain in the city, preventing the Iraqi forces and their allies in a US -held coalition from using overwhelming firepower.
Some 74,000 civilians have fled Mosul and nearby areas so far, and the United Nations is preparing for a worst-case scenario in which more than a million people are made homeless as winter descends and food shortages set in.
Baghdad was the most devastated city in November, as 152 civilians died and 581 others were injured, UNAMI said.
The Iraqi military estimates there are 5,000 to 6,000 insurgents in Mosul, resisting the advancing troops with suicide auto bombs and sniper and mortar fire that also kill civilians.
The UNICEF said that Iraqi authorities are ferrying water to civilians with trucks, though this temporary measure is not enough to meet the needs of residents.
On Tuesday, a local official said water supplies had been cut off for about 650,000 residents in 15 districts and suburbs after a pipeline was hit during fighting. "In terms of east Aleppo, we just need the green light from the people who control the roads going in because, as you know, the east of Aleppo is besieged", said Ramesh Rajasingham, UN deputy regional humanitarian coordinator for the Syria crisis.
Search for HIV vaccine resumes with test in South Africa
He also focused on the need to scale up community-based HIV testing to bridge the gap between registered and estimated HIV cases. Today, 40 per cent of all people with HIV (over 14 million) remain unaware of their status.
Iraqi Special Forces meanwhile liberated the al-Akhaa al-Thaniyah neighborhood in Mosul, and raised the national Iraqi flag over several buildings there, the Joint Operations Command said in a statement.
Kubis said the growing death toll was largely a result of the ISIL's ferocious defence of Mosul, the city where it proclaimed its now crumbling "caliphate" in 2014.
The figures for those killed include 926 civilians and 1,959 security forces, including the Iraqi army, Peshmerga, and associated armed groups fighting alongside the army.
The offensive on Mosul was launched on October 17, with forces rapidly advancing towards the city center within the first two weeks.
Iraqi forces have told civilians to stay at home in order to avoid massive displacement from the city. We provide children with healthcare and immunization, clean water, nutrition and food security, education, emergency relief and more.