Massachusetts this week will likely cross the threshold of 2 million residents fully vaccinated against Covid-19 and holds the distinction of being the first state with at least 5 million people to deliver at least one dose to more than half of its adult residents, Gov. Baker said Monday during a visit to a Worcester vaccine site.

More than 5.2 million vaccine doses have been shipped to Massachusetts, and more than 87 percent of those have been administered, according to a Monday afternoon report from the Department of Public Health.

In a state with a population of roughly 6.9 million people, almost 1.79 million people have completed their vaccine regimen — either by receiving one Johnson & Johnson shot or two doses of the Pfizer or Moderna vaccines — and almost 2.77 million people have received at least one Moderna or Pfizer shot.

Next Monday, Massachusetts will open up its vaccine eligibility to people age 16 and older who live, work, or study here.

Baker said he continues to hope the federal government’s vaccine supply will “get to the point where they can actually meet demand.”