A total of 17,162 people tested positive for Covid-19 in England at least once in the week to May 26, up 22 percent on the previous week, according to the latest Test and Trace figures.
It is the highest number of people testing positive since the week to April 14.
The figures also show lateral flow testing decreased for a fifth week in a row, but PCR testing continued to rise.
It comes as Health Secretary Matt Hancock said it remains "too early" to say whether all coronavirus restrictions can end on June 21.
Speaking ahead of a G7 health ministers' meeting today, he told reporters: "It's too early to say what the decision will be about step four of the road map, which is scheduled to be no earlier than June 21.
"Of course I look at those data every day, we publish them every day, the case numbers matter but what really matters is how that translates into the number of people going to hospital, the number of people sadly dying.
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"The vaccine breaks that link - the question is how much the link has yet been broken because the majority of people who ended up in hospital are not fully vaccinated.
"That's a good sign if you like because it means that the vaccine is clearly protecting people from ending up in hospital but it also demonstrates that we need to keep going with this vaccine programme."
The number of rapid tests carried out in England has fallen to its lowest level in six weeks - despite all members of the public being eligible to take two rapid tests a week.
Just over 4.8 million lateral flow device (LFD) tests for Covid-19, or rapid tests, were conducted in England in the week to May 26, according to the latest Test and Trace figures.
It is the fifth week in a row that the number has decreased.
LFD tests are swab tests that give results in 30 minutes or less without the need for processing in a laboratory.

The number of LFD tests peaked at just over 7.6 million in the week to March 17, which coincided with the return of secondary students to school.
Since April 9, everyone in England has been eligible for rapid Covid-19 tests twice a week.
But the figures also show that 1.0 million polymerase chain reaction (PCR) tests were conducted in the same week - the highest for two months.
PCR tests are swab tests that are processed in a laboratory, and are used mainly for anyone who has Covid-19 symptoms and to confirm a positive rapid test result.
Of the 13,644 people transferred to the Test and Trace system in the week to May 26, 92.6% were reached and asked to provide details of recent close contacts.
This is down slightly from 93.1% in the previous week.
Some 6.9% of people transferred to Test and Trace in the week to May 26 were not reached while a further 0.5% did not provide any communication details.