Employment and Social Development Canada and Service Canada have measures in place to ensure that clients continue to receive services and benefits during a disruption of Canada Post services. See here
My Service Canada Account
If you receive benefit cheques by mail, you can sign up for direct deposit through My Service Canada Account. Direct deposit is the most efficient and surest method of payment that will not be impacted by a postal disruption.
During a disruption of Canada Post services, there may be delays in receiving your Personal Access Code by mail. Personal Access Codes can be obtained in person at a Service Canada Office near you.