The UK government has amended its foreign travel guidance to clarify that the Indian-made version of the AstraZeneca vaccine is an approved jab.
However, it is not clear whether people from India can travel to the UK without having to self-isolate for 10 days, reports the BBC.
The UK's refusal to recognise Covishield had triggered a firestorm of protests in India.
With more than 721 million doses administered so far, Covishield is India's primary vaccine.
On Tuesday, India described the rule as "discriminatory" and asked the UK to stop requiring fully-vaccinated Indians to self-isolate on arrival.
At present, India is not listed as a country where people are recognised as fully vaccinated even if they've had both doses of an approved jab. Indians travelling to Britain have to self-isolate as well as book and take Covid-19 tests before they are allowed to move freely.
Last week, the UK announced new rules - which will come into effect on 4 October - which mandate that travellers from a number of countries arriving in England do not have to self-isolate if they are fully vaccinated. India was not included in that list either.
Prominent Indians called the rule "highly discriminatory", "racist" and "asinine", among other things.