Mr Rammell says many of these students are "comfortably off" and will not be receiving additional subsidies.
BBC: NEWS | UK | Education | 'Study now, pay later' fee advice
Mr Rammell - and UK foreign secretary David Miliband - have since confirmed that this report was accurate.
Mr Rammell welcomed the report and promised a full MoD response in due course, but insisted that the situation was improving.
Bill Rammell, Minister for Lifelong Learning, Further and Higher Education, said such projects were a big step forward in reaching their goal.
BBC: NEWS | UK | Education | ?18m to inspire science students
Higher Education Minister Bill Rammell said this showed tuition fees were not putting students off applying to university, as critics of higher fees had predicted.
Mr Rammell acknowledged that the cuts to TA training were "disappointing" but said that they were necessary to ensure resources were concentrated on operations in Afghanistan.
She said Foreign and Commonwealth Affairs Minister Bill Rammell will raise the issue with the Laotian foreign minister when he visits the UK on 7 May.
"Academics up and down the country pore over these results to see how they are performing and how what they are offering can be improved, " Mr Rammell had said about the survey.
The importance of this national survey has been emphasised in previous years by the Higher Education Minister, Bill Rammell - who called it a "powerful tool for student empowerment and institutional improvement".
But armed forces minister Bill Rammell told the BBC troop numbers had been increased from 5, 500 to 9, 000 and that the international force had been bolstered by an extra 20, 000 US personnel.
And Mr Rammell attacks the "elitism" of those who do not want to widen university entry - and says people need to "get real" and recognise the economic necessity of a well-educated workforce.
BBC: NEWS | UK | Education | 'Study now, pay later' fee advice
On Tuesday, Scottish officials released a report saying a Libyan official had said Foreign Office minister Bill Rammell had told them Mr Brown did not want the Lockerbie bomber to die in a Scottish prison.
In response to a question from Liberal Democrat foreign affairs spokesman Edward Davey, Mr Rammell said the government had made it "absolutely clear" to Sri Lanka that it supports an investigation on "any allegations of war crimes".
But instead of engaging with the problem, Bill Rammell, the Minister for Higher Education, attacked the poll for finding out these things and declared that the problem of radicalism on campus was in fact "serious, but not widespread".
Mr Rammell added that Dr Siddiqui's review, as well as other reports and conferences on Islam in higher education, suggested Islamic studies departments were concentrating too much on a Middle Eastern focus and ignore the realities of Islam in modern multi-cultural Britain.
BBC: NEWS | UK | Education | Teaching of Islam is 'out-dated'
Higher Education Minister Bill Rammell said there was nothing new in students taking term-time jobs to supplement their lifestyle, but the abolition of up-front fees from September this year and bursaries for less well-off students would make money less of a concern.
BBC: NEWS | UK | Education | Students 'stay home to cut costs'
Higher Education Minister Bill Rammell said the report "confirms what we have been saying for some time now - that graduates, on average, earn more and are more likely to be in a job than those without degrees, and that higher education is likely to be the best investment a student will ever make".
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