However the organisation is insisting that no decisions have been taken.
It follows a report on RTE today saying the future of the post offices was under threat.
An Post says a review of Bunbeg Post Office will be made known next week. Donegal Daily reported on that issue several weeks ago.
An Post also says that the postmaster at Gleneely has retired and anyone interested in taking it over must submit a declaration of interest by next Friday, March 7.
If no-one does take it over, it could close.
Postal workers union General Secretary Brian McGann has said that Government inaction could lead to post office closures.
Speaking on RTÉ’s Today with Sean O’Rourke, Mr McGann said the Programme for Government has committed to maintaining the post office network, but he said there is no plan.
He said a Dáil motion being debated tonight is about how that commitment will be met.