More than 600,000 minority Rohingya Muslims have fled to Bangladesh to escape violence in Myanmar's Rakhine State since August 25 last year.
Myanmar and Bangladesh signed a repatriation deal in November but not one refugee has returned.
The UN chief was responding to a question on the need to relocate the Rohingya refugees currently living in camps in the border town of Cox's Bazar in Bangladesh.
The UN adviser on preventing genocide has said that all information he has received indicates the Myanmar government intended to get rid of Rohingya Muslims in Rakhine state.
The development has raised questions over the safety of hundreds of thousands of persecuted Rohingyas due to be repatriated from neighbouring Bangladesh to Myanmar.
As per an agreement between India and Myanmar, the locals on either side can move up to 16 km within each other’s territory without documents and stay there for a while.
The sight of children carting water jugs, queueing at relief stations or dragging sacks of grain the size of their own bodies is not uncommon in the Rohingya camps.
Life-threatening levels of malnutrition have risen dramatically among Rohingya refugee children who have fled Myanmar for Bangladesh.
Various security arrangements have been put in place across Myanmar to prevent infiltration of illegal immigrants.
A total of 2,000 acres of land has been allocated in Cox's Bazar in Bangladesh for the new camps, but the refugees are arriving in droves, and settling down anywhere they can find space.
The UN says 415,000 civilians from the Rohingya Muslim minority have arrived in Bangladesh since August 25, overwhelming refugee camps near the border that were unprepared for the sudden influx.
The military says its "clearance operations" in northern Rakhine state are aimed at flushing out Rohingya militants who attacked police posts on August 25.
With the number of Rohingya refugees in Bangladesh having crossed 400,000, Prime Minister Sheikh Hasina will raise the matter at the UN General Assembly on Saturday.
According to Jammu and Kashmir government, 5743 Rohingya Muslims were living in the State and most of them have been staying in districts of Jammu and Samba in Jammu province.
The UN has appealed to the international community to keep aside politics and support the ongoing humanitarian efforts to help Rohingya refugees.