Responding to last year's under-recruitment and in a bid to give universities more confidence in offering places, the Hefce funding council is allowing universities a wider margin for over-recruiting, before they face financial penalties.
Mr Willetts told delegates he wanted Hefce to look at ways of making the system more "flexible" so a popular university might be given extra places while those that are under-subscribed will have their numbers cut.
The Higher Education Funding Council (Hefce) says it is aware of this incident and believes it to be authentic - and says it takes this "very seriously" - but that it does not invalidate the overall results of the survey.