However, they were only 33% effective three weeks after the first dose, the report said.
Mr Fell said: "We work very closely with NHS Test and Trace and Public Health England on these matters to make sure all appropriate public health interventions are being carried out, including any additional contact tracing and targeted testing".
However, the British government has touted a new study published by Public Health England that shows for the first time that the Pfizer and AstraZeneca vaccines remain "highly effective" against the India variant.
That compared with 93% effectiveness against the B.1.1.7 "Kent" strain which is Britain's dominant Covid variant.
As of May, India holds the second-highest overall number of infections after the USA with more than 26 million people infected.
The B.1.617 variant was first detected in India previous year and has been blamed for much of a devastating Covid-19 wave that has battered South Asian nations in recent weeks.More news: Covid vaccines don't damage placenta, may be safe in pregnancy
It came after a number of cases of the Indian variant (B.1.617.2) were detected in Huddersfield, but on Tuesday Kirklees Council they were "in one household" and it is working to contain the outbreak.
The Indian Express reported on May 21 that scientists across various institutions under the Indian SARS-CoV-2 Genomics Consortium (INSACOG) have said that the B.1.617.2 variant was beginning to take over as the dominant "variant of concern" in the country.
"Only 1.1 per cent of B.1.617.2 cases required hospitalisation, compared to 1.5 per cent of B.1.1.7".
Additionally, there is a certain level of immunity which can be reached simply through getting one dose of the vaccine.
Prof Hayward said that the United Kingdom should not "waste the opportunity" offered by vaccination by allowing people to travel widely.
"I think what really concerns us at the Independent SAGE group is that we're not being precautionary enough".More news: Ontario extends stay-at-home order to June 2
However, Professor Susan Hopkins, PHE's Covid-19 strategic response director, said the data trend was "quite clear" and was heading in the "right direction".
The Public Health England on Sunday said that the difference in effectiveness between the vaccines after two doses may be attributed to the fact that the Oxford-AstraZeneca vaccine was rolled out after the Pfizer shot. It included all the symptomatic cases in England from the period.
Asked about how the data could affect the easing of restrictions from 21 June, Prof Hopkins said it was "too early to say".
Colombia's restrictions apply to travelers who have been in India within the last 14 days or who had a connecting flight there, the statement said.
Two jabs of either vaccine give a similar level of protection against symptomatic disease from the Indian variant as they do for the Kent one.
"Fortunately we've had a good proportion of the population vaccinated, but there's still people who aren't vaccinated in high-risk groups, the vaccine isn't 100 per cent effective, and also even in the younger groups, if you get many, many thousands or hundreds of thousands of cases, then you will expect a lot of hospitalisations and deaths to result from that".More news: Based Enbridge refuses to bow to pressure to cancel Line 5