Mayor Walsh vowed city will push to get Bostonâs most vulnerable residents vaccinated By Travis Andersen Globe Staff,Updated February 18, 2021, 4:29 p.m. Email to a Friend Mayor Martin J. Walsh said Thursday that the city is pushing to ensure Bostonâs most vulnerable residents have access to the COVID-19 vaccine as the troubled statewide rollout continues. âWe are pleased that moderate and sever asthma are included as a list of conditionsâ that go toward eligibility at present, Walsh said during a briefing at City Hall. âThis was an important decision to ensure that more residents of color who face elevated risks are eligible sooner. And we are pleased, also, that both residents and staff, seniors and disabled housing buildings are eligible for on-site vaccinations.â