The Stormont Executive published a five-phase blueprint for lifting restrictions on Tuesday but it did not include a timeframe.
All councils have asked for social distancing guidelines to be adhered to.
They have also said that a limited number of vehicles will be allowed to enter at any one time, and staff will not be able to help with offloading waste.
Traffic management systems will also be introduced.
Derry City and Strabane District Council:
Pennyburn, Glendermott Road and Strahan Road in Strabane will reopen on Monday from 8 am to 8 pm Monday to Friday, 8 am to 6 pm Saturdays and 1 pm to 5 pm on Sundays;
Claudy and Strathfoyle sites will be open from 8 am to 8 pm Monday to Friday, and 8 am to 6 pm on Saturdays;
The remaining six sites will remain closed for now, with the council “regularly reviewing this”;
Only one person will be permitted to leave their vehicle to dispose of waste;
Black bags must be double bagged and stored for a 72-hour period before disposal;
Bringing bulky waste is discouraged during the initial phase of reopening.
Large vans or trailers will not be permitted access to the sites when sites initially reopen to improve traffic flow and reduce waiting times.
The council will be operating a one-way system for vehicles at its recycle centres.
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