Face mask rules for supermarkets including Tesco, Aldi, Morrisons and M&S explained Updated: 13 Jan 2021, 12:53 Invalid Date, SUPERMARKETS including Tesco, Aldi, Morrisons and Sainsbury's, have said they will ban customers from entering shops without a face mask. Retailers have tightened restrictions for shoppers over fears supermarkets are hotbeds for spreading the deadly coronavirus. 2 Many UK supermarkets have updated their face mask policies for shoppersCredit: Getty Images - Getty While official legislation hasn't changed, many retailers have said they will take more care to enforce the rules. This includes if you have a physical or mental illness that stops you from wearing one.