That figure is up 27% from a week earlier and is the highest number since 5 March, when the country was under tough lockdown restrictions.
However, that is still some way off the peak during the second wave of the virus, which stood at 34,336 on 18 January.
Amid the figures, Prime Minister Boris Johnson echoed his health secretary’s call for caution, saying: “Most importantly I urge everyone to get their first, second or booster jab without delay to protect yourselves and your loved ones.”
Mr Javid added: “Of course we look at the data on a daily basis, that hasn’t changed over the Christmas period, but there will be no further measures before the New Year.
“Of course, people should remain cautious as we approach New Year’s celebrations, and you know, take a lateral flow test if that makes sense.
“Celebrate outside if you can, have some ventilation indoors if you can, please remain cautious.
“And when we get into the New Year, of course, we will see then whether we do need to take any further measures – but nothing more until then at least.”
Mr Javid said while “there is still a lot of uncertainty” around Omicron – which it is believed makes up “some 90% of cases” across England at present – there has been positive news in recent days that the variant is milder.
He said the need for restrictions would be kept “under review”.
Asked why the Scottish and Welsh governments and Northern Ireland executive have analysed the same data and introduced more measures, the health secretary reiterated that it is for each government to make decisions.
Mr Javid added that Downing Street is “very, very focused on vaccinations” – but that the government “will watch carefully what is happening in the hospitals”.