The Myanmar government is reviewing citizenship status and "should go about it very quickly and very transparently and then decide what the next steps in the process should be," she told The Washington Post.
But in an interview published online late yesterday, Suu Kyi dodged a direct question on whether the Rohingya -- who have triggered international outcry as they flee the country on rickety boats in their thousands -- should be given citizenship.
"It is such a sensitive issue, and there are so many racial and religious groups, that whatever we do to one group may have an impact on other groups as well," she stressed.
"So this is an extremely complex situation, and not something that can be resolved overnight."
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The plight of the Rohingya, one of the world's most persecuted minorities, has worsened dramatically since 2012, when communal bloodshed left scores dead and some 140,000 people confined in miserable camps in Rakhine state.
In recent months, images of starving, desperate migrants hauled from vessels to Southeast Asian shores have spurred calls for immediate humanitarian action.
But pro-democracy icon and Nobel peace laureate Suu Kyi, who became a beacon of hope during decades of house arrest under the military junta, has been accused of failing to speak up for the country's powerless as she campaigns for elections due in November.
"We have many minorities in this country, and I'm always talking up for the right of minorities and peace and harmony, and for equality," she told the Post, speaking after a landmark visit to China.
Buddhist hardliners want the estimated 1.3 million Rohingya expelled from Myanmar.