That's the suggestion of Victoria Barnsley OBE, the Chief Executive and Publisher of HarperCollins UK, in an interview on BBC Radio 4:
Barnsley predicted that the level of digital e-book sales would "level off and end up being more like 50/50 [physical books and e-books] for quite some time, if the physical bookshops survive". But she said the survival of the physical bookshop was "the big question". "Readers still do quite like physical books, the question is, will they be able to buy them, actually," she told Davis.
Citing a reported figure that only 35% of fiction in the UK is bought through a physical bookshop, Barnsley commented: "They are under enormous pressure," suggesting that asking customers to "pay for the privilege of browsing" was not an insane concept in the current environment.