I don't know what you mean by "sooner", but such processes do not happen overnight - although they have been around for some time in some countries (Sweden) where paper banknotes almost got out of use. Realistically, cash will increasingly be replaced by digital money, and of course for the sake of easier control over money flows, corruption, a crime of all kinds.

I believe that this process will proceed gradually and that every new generation will use less and less cash, which will eventually lead to decisions to completely abolish such payment. Since the European Union also has the European Monetary Union, many countries no longer use their national currencies, so they have become mere ornaments and something that interests collectors.