Another Rohingya, Ismail, said some 400 Myanmar soldiers regularly patrol near the border line, creating panic among the refugees.
Khan said there was no specific timeframe to start the repatriation but he hoped it would start soon.
"The Myanmar side cordially accepted the list, and they sought our help to make it happen", Khan told reporters.
They also want global organisations and media to be engaged in the repatriation process and monitor the overall situation, along with the full implementation of the recommendations made in the report of the Kofi Anan-led Advisory Commission on Rakhine State and the five-point proposal of Prime Minister Sheikh Hasina.
While Bangladesh and Myanmar have signed a repatriation deal and are working towards that end, fate of the 7,000 Rohingyas, who were not registered by the Bangladesh authorities, have remained uncertain.
Bangladesh had argued that Myanmar should take them back as they hadn't yet crossed the border after fleeing violence in Myanmar's Rakhine State.
Bangladesh's refugee commissioner Abul Kalam told AFP Dhaka had already started construction of a transit camp and would start building another next week to facilitate the return of the Rohingya.
Another concern among the Rohingya is that the refugees will be repatriated to temporary camps inside Myanmar with no guarantees on if and when they would be able to return to their villages.
Around 700,000 refugees crossed the border after the Myanmar Army launched an ethnic cleansing of the Rohingyas on Aug 25 a year ago following insurgent attacks on security forces in Rakhine State.
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In an effort to expedite implementation of the repatriation, Myanmar has provided to Bangladesh a list of 508 Hindus and 750 Muslims who have been verified as Myanmar residents, to be included in the first batch of repatriation, the Permanent Representative of Myanmar to the United Nations Hau Do Suan told members of the UN Security Council during an open hearing on Rohingya refugees.
Khan said Bangladesh expressed its desire for safe and secure conditions and a proper infrastructure for the refugees' return.
They also said these issues were outlined in the final recommendations made by the Advisory Commission on Rakhine State.
The recent violence erupted after an underground insurgent group, the Arakan Rohingya Salvation Army, attacked security outposts in Rakhine in late-August a year ago.
But Rohingya refugees are still entering Bangladesh with claims of rights abuses by Buddhist mobs and the military in their native Rakhine state.
Myanmar's security forces have been accused of atrocities against the Muslim minority in northern Rakhine, including killing, rape and arson.
Some 700,000 Rohingya have fled Myanmar to Bangladesh since the crackdown that the United Nations has called ethnic cleansing. Many in Myanmar regard them as recent illegal Bengali immigrants from Bangladesh despite historic proof that the Muslim presence in Rakhine can be traced back as early as the eighth century. Almost all have been denied citizenship since 1982, effectively rendering them stateless.
Meanwhile, diplomatic missions in Myanmar have urged the Myanmar authorities to address the underlying problems including security, freedom of movement, access to livelihoods, health and education and citizenship, reports UNB.