Permanent TSB has launched an "odd-lot" offer to give small shareholders a free mechanism to dispose of their holdings.
The scheme will allow the bank to buy back shares from shareholders who hold 100 or less shares.
Around 128,000 of PTSB's 129,000 shareholders hold less than 100 shares, while 100,000 have four shares or less.
The bank said that shareholders will be offered 5% more than the current share price to encourage them to take part.
The odd-lot offer opens today and will close on Friday 4 October.
Shareholders at the bank's AGM in May approved the odd-lot measure.
Permanent TSB said that shareholders who wish to retain their odd-lot shares may only do so by completing and returning an opt-out form by October 4.
