Retailers may introduce temperature checks for staff and shoppers when they're allowed reopen.
According to The Irish Times, they're also considering banning price promotions to prevent a rush of customers.
Retail Excellence says shops should also consider barring the use of trolleys and insist on card payments for a period.
Professor Anthony Staines, from DCU's school of nursing, says temperature checks mightn't be a very effective measure in shops.
"It can give you a false sense of security if you don't have a temperature.
"The evidence for travellers is that there's no point in taking temperatures, but it can send a message to everybody that you take this seriously.
"There's lots of reasons why people take temperatures - the vast majority of people with a temperature this morning do not have Covid-19."