It comes ahead of a decision on whether the county can exit localised restrictions this weekend.
The meeting between both Laois and Offaly local authority with the Health Minister is postponed.
A delegation from both county councils were to meet Stephen Donnelly separately to discuss the impact of localised restrictions on the counties.
It comes ahead of a government decision on Laois, Offaly and Kildare exiting restrictions later this week.
It is hoped the meeting will be rescheduled before the end of the week.
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