The woman, in her 20s, was on one of the planes that ferried some of the 10 other COVID-19 patients from Kolkata to Port Blair on March 24, they added.
The other 10 patients, who attended a religious congregation in Delhi's Nizamuddin last month, tested positive for coronavirus after returning from the national capital via Kolkata.
The woman is undergoing treatment at the G B Pant Hospital, where a 48-bed isolation ward has been set up for coronavirus patients.
The islands, home to several vulnerable tribes, have been put on alert following the COVID-19 outbreak. CORR SOM RC