Ulster Bank is delaying its customers' first closure date to ensure social welfare recipients don't lose payments.
The first batch of account holders had a deadline of Saturday to close their accounts - however, that's been pushed back until November 4th.
The bank says with the higher benefits announced in last week's Budget it wants to ensure nobody misses out on money.
Customers get six months' notice to close their accounts - however, this first group now have seven months.
In a statement, Ulster Bank Chief Executive Jane Howard said: "I urge any customer who needs more support, to contact us on 0818 210 260 or 00353 1804 7475 if calling from abroad or 1800 656 001 if they have vulnerabilities, we will ensure that any customer who is reliant on their account and needs further support, receives this support.
"As a Bank, we have worked very hard to reach out to our customers to ensure that they are aware of their individual notice period and what will happen next, avoiding any surprises for them.
"It is crucial for all customers to understand that their notice to Choose-Move-Close still stands and they do need to take action on their current and deposit accounts when they receive their notice from us."
Ulster Bank says it's committed to an orderly exit from the Irish market, which it plans to have completed by mid-2023.