In the first few hours of the centre, located in Saint Joseph School under the BMC's N Ward limits, being operational, some 100 transgenders and LGBT community members received vaccine doses.
The Centre had earlier expressed its inability to introduce the door-to-door vaccination drive on the ground of wastage of vaccines and risk of adverse reactions.
CM Uddhav Thackeray also said that they have called the health task force meeting on August 9 where more restrictions will be relaxed.
Dharavi which has a population of about 10 lakh densely packed into an area of 2.1 square kilometers had reported its first COVID-19 case on April 1 last year.
The average growth rate of COVID-19 cases between April 29 to May 5 was 0.51 per cent, while the doubling rate of cases is now 130 days.
Mumbai's positivity rate was 9.94 per cent on April 29, when 4,328 people tested positive for COVID-19 out of 43,525 those samples were examined.
The civic body had earlier stated that only online delivery portals will be permitted to deliver food, groceries and other essentials, and take away facilities will not be allowed for people.