Because there was no loss, UK owners would not need compensating, he said.
"When there is no loss then there is no need for compensation," Mr Willis said.
That stance was in sharp contrast with the US, where drivers of affected cars are being offered vouchers worth $1,000 for their trouble.
VW's use of computer software in diesel cars, which gave a false emissions reading when they were being tested by regulators, was exposed in the US last year.
VW plans to start fixing cars in the UK from March, with customers being told it should take less than an hour.