Market researcher Nielsen said grocery sales growth was 8.3% year-on-year in the four weeks to to Oct. 3, having increased 5.3% in the previous four week period.
It said that while it saw big jumps in sales of disinfectants (up 92%), toilet tissue (up 34%) and household cleaning accessories (up 24%), the levels were well below those seen during the peak of the pandemic, and do not suggest the return of panic buying.
However, last month market leader Tesco and No. 4 player Morrisons both reintroduced purchase limits on some products.
Nielsen said year-on-year growth of online sales was 91% as the major supermarkets continued to add delivery capacity.
Over the 12 week period to Oct. 3, Morrisons was the best performer of Britain's so called "big four" grocers, with sales up 8.7%.
Market leader Tesco saw growth of 6.5%, ahead of Sainsbury's on 5.1% and Asda on 3.4%.
Earlier this month the billionaire Issa brothers and private equity group TDR Capital agreed to buy Asda from Walmart in a deal which gave the British chain an enterprise value of $8.8 billion (6.8 billion pounds).
(Reporting by James Davey; Editing by Chizu Nomiyama)