Parliament's Riksbank committee, which is in the process of reviewing the central bank law, proposed making it mandatory for banks to offer cash withdrawals and handle daily receipts. The requirement would apply to banks that provide checking accounts and have more than 70 billion kronor ($8 billion) in deposits from the Swedish public, according to a report.

The lawmakers said there needs to be "reasonable access to those services in all of Sweden," and that 99 percent of Swedes should have a maximum distance of 25 kilometers (16 miles) to the nearest cash withdrawal. The requirement doesn't state how banks should offer those services, and lenders can choose whether to use a third party, machines or over-the-counter services.

The move is a response to Sweden's rapid transformation as it becomes one of the most cashless societies in the world. That's led to concerns that some people are finding it increasingly difficult to cope without access to mobile phones or bank cards. There are also fears around what would happen if the digital payments systems suddenly crashed.