Liverpool hope is the first university to announce it will not charge students the maximum £9,000 in tuition fees next year.
The vice-chancellor, Professor Gerald Pillay, told staff it was not fair to transfer all of the government debt to graduates.
A spokesman said that details of the fees would be released once they were approved by the university's council and it had received information on added responsibilities to ensure poorer students were accepted on courses.
Cambridge and Imperial College have decided to charge £9,000.
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