Cambridge University vice-chancellor Professor Stephen Toope recently told private schools to accept they will get fewer students into Oxbridge in the future.
Professor Toope said the university would be “welcoming others” rather than telling students from private schools “we don’t want you”.
Mr Zahawi, however, said it was the job of Government to reduce the “attainment gap” between the state and private sectors by increasing the quality of state schools.
“I think it should be based on merit and evidence,” the Tory, who was promoted to his current role in Boris Johnson’s 2021 Cabinet reshuffle, told The Times.
“The thing to do is deliver great outcomes for all children, wherever they live, and especially our most disadvantaged children. Which is why I’m flexing the system towards those areas that have fewer great schools or good, outstanding schools.
“You don’t create a system that people feel is fair and equitable by in some way thinking that there is an easy fix. The best thing you can do is create schools in the state system that are as good as independent schools. Which we are.
“I need to continue my journey to deliver more outstanding and high performing schools. That’s the right strategy. Not to say actually, let me just accept that we’re not going to produce outstanding schools so let me just tilt the system away from children who are performing.”
The 54-year-old told the newspaper he wanted private schools to become more involved with the state sector, noting the efforts of Eton College in opening three state sixth forms in Dudley, Middlesbrough and Oldham to help pupils gain admission to Oxbridge.
“If we all set aside our sort of tribalism and look at the evidence, we will deliver great outcomes for every child,” Mr Zahawi said.
“If we do that, and I can demonstrate for the next two and a half years I’ve done my job properly, then we’ll have made a real difference to the lives of children up and down the country.”
Professor Toope said earlier in May his institution would “have to keep making it very, very clear we are intending to reduce over time the number of people who are coming from independent school backgrounds into places like Oxford or Cambridge”.
“Individual students who are talented, we would want them, but they’re going to be competing against an ever-larger pool because there are more students coming from state schools who are seeing a potential place for themselves at Cambridge or Oxford or other Russell Group universities.”
Universities minister Michelle Donelan told the paper at the time: “It’s really important that young people with the desire and ability go into higher education, including the very best universities, but that’s only part of the hurdle. It’s about making sure they complete those courses.”