From 1 July, Alliance & Leicester (A&L) will attempt to reduce its queues by making customers with cash cards withdrawing less than £300 to use the branch cash machine.
The bank, which is to be renamed Santander later this year, said the change will bring the bank brand in line with other banks in the Santander group – including Abbey and Bradford & Bingley.
The change comes as major banks are moving away from personal service and look towards the hard sell of financial products such as mortgages.
Banking giant HSBC is also set to make changes and said its customers may be required to make a telephone call to confirm internet transfers people they rarely send money to.
According to HSBC, the move is designed to prevent fraud.
Earlier this year, the Nationwide Building Society said it would it also impose a small cash counter withdrawal ban.
From 7 June, Nationwide customers will have to withdraw £100 or less from the cash machine, rather than over the counter.
At the time, the Nationwide said the change is essential and the move is aimed at speeding up transactions and freeing up staff time to deal with other transactions.
However, Vera Cottrell, principal policy adviser at the consumer group Which?, said: “It is important that consumers with basic accounts can make small withdrawals as this helps them budget.”