But the health secretary said people should "remain cautious" and celebrate outside on New Year's Eve if possible.
Prime Minister Boris Johnson said ministers would continue to monitor the data and urged people to get their "first, second or booster jab without delay".
Meanwhile, both England and Scotland reported record cases over Christmas.
Some 113,628 new infections were reported in England on 25 December, 103,558 on 26 December and 98,515 on 27 December.
Provisional data for Scotland for the same three days showed there were 8,252 cases on Christmas Day, with 11,030 the following day and 10,562 on Monday.
Only partial Covid data for the UK has been published over the Christmas period, and full figures will be released later this month.
Dr Sarah Pitt, a virologist at the University of Brighton, told the BBC the cases data was "likely to be an underestimate" for several reasons, including people being less inclined to get a test on Christmas Day and data processing delays over the festive season.
Northern Ireland has not published any cases data since Christmas Eve, while Wales recorded another 5,335 cases on 26 December.