The United Nations (UN) has slammed Myanmar's refusal to grant humanitarian access to Rakhine State as "unacceptable", saying the flight of terror-hit Rohingya Muslims out of the region continues.
The home minister had also said that India would not violate any global law by deporting Rohingyas, as it was not a signatory to the UN Refugees Convention 1951.
There may be up to 100,000 more people in northern Rakhine waiting to cross into Bangladesh, according to the International Organization for Migration.
The arrival of more than half a million Rohingya Muslims from Buddhist-dominated Myanmar since 25 August has put an vast strain on camps in Bangladesh where there are growing fears of a disease epidemic.
Myanmar has come under worldwide criticism for barring aid groups, journalists and other outsiders from independently traveling to the region to see the situation there.
But Mr Lowcock said he believed a "high-level" team would be able to visit the area in the next few days.
Meanwhile, the United Nations said Thursday that its response plan to the crisis had been revised to $434 million to help over one million people in Bangladesh - including over 500,000 Rohingya who have arrived since August 25, Rohingya refugees who arrived earlier, and local host communities.
Queues for food are continuing to swell in refugee camps in Cox's Bazar, as more Rohingya Muslims fleeing violence in neighboring Myanmar make the border crossing.
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The World Health Organisation also says cholera is also a major risk.
Myanmar's military have blamed the unrest on the Rohingya.
The OIC had made a stand that the refugees should be allowed to return safely to Myanmar and that Naypyidaw should take concrete measures to handle the deadly conflict which had occurred mainly in the Rakhine province which borders Bangladesh.
Aung San Suu Kyi, Myanmar's leader, was criticised for not doing more to intervene - but has since spoken out against any human rights abuses.
"People are arriving in Bangladesh with bullet wounds, people are exhausted, hundreds of villages have been burnt", he said.
The Foreign Minister said that the Bangladesh government wants Rohingyas to go back as soon as possible.
With New Delhi lending an ear to Bangladeshi concerns, Foreign Secretary Haque now says India and Bangladesh are on the same page even as he praised India's stance including at the UNHRC.