The council will continue to work closely with Glasgow City Health and Social Care Partnership, NHS Greater Glasgow and Clyde and Health Protection Scotland to monitor and respond to the national situation.
The council said extra waste could be taken to household waste recycling centres but the Advertiser has asked RMBC to clarify this position following the new restrictions on movement announced last night by the government.
"Whatever happens, however, waste collections will be prioritised throughout".
However, your normal kerbside bin collections will continue to take place for the time being.
Garden waste collections have been suspended in areas including Bournemouth and Poole and Leeds, while councils such as Plymouth, which were planning to restart pickups of garden cuttings for the spring, now say they are not going to do so.
The Blackburn ad Darwen site (pictured above) has also closed.
Islanders are already among the best in the country for recycling and the authority is pulling out all the stops to ensure waste collection services continue with minimal disruption at this challenging time.
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As France's healthcare system comes underneath acute pressure, the Philippe refused to rule out localized curfews. Health Minister Olivier Veran told a briefing he could not determine at this stage when the lockdown would end.
Starting immediately the council will pause green garden waste and bulky waste collection services.
He also warned that over the coming weeks waste collection teams may need to operate a reduced service, as some workers become ill or have to self-isolate.
Cllr Andrew Lee, executive member for waste management, told residents to hang on to bulky waste until the sites reopen.
Do not put any electrical items in any of your bins at home.
The council have stressed that kerbside collection of general rubbish bins and green recycling bins will be uninterrupted - and residents are asked to put out their bins as they normally would.
Adam Read, external affairs director for Suez, said: 'It is too early for us to see an upward trend in the data for household food waste collections. When full these bags should be placed in a second bag and tied and then stored for 72 hours before being put out for collection.
'Some household waste recycling centres will be temporarily closed to the general public and, unless essential, people should not be leaving their homes to visit these sites.