Library users in Dungannon and Coalisland can make their views known about proposals to reduce the opening hours as a consultation gets underway.
Under its Draft Budget for 2015/16, Libraries NI have to make savings of around £2.3 million.
Chief Executive, Irene Knox, said the organisation “deeply regrets” having to take the decision, but said it will “consult openly” with people during the process.
Ms Knox invited members of the public to engage with Libraries NI regarding the policy and proposals.
“In all of our actions we want to be fair to customers, to libraries and to our staff”, she added.
Opening hours at Coalisland Library will be reduced from 40 per week to 35 per week under the proposals, while Dungannon Library will open 50 hours a week, down from 51.
The public consultation on the policy and proposals will close on 17 April. Survey questionnaires are available in libraries or at www.librariesni.org.uk.