Federal labor officials reported another 38,328 claims for unemployment insurance in MA last week, bringing the state's nine-week total to about 864,000.
The latest claims tally was down from the 3 million who filed claims the week before, and the record 6.9 million who sought assistance in late March.
The latest date from the Bureau of Labor Statistics comes as the state announced another 42,000 workers in New Jersey filed new claims for unemployment benefits.
Another 2.4 million Americans filed for first-time benefits last week, the Department of Labor reported on Thursday.
On Friday, Massachusetts will release statewide job losses and the unemployment rate for the month of April.
Economists said claims numbers were staying high also as states were now processing applications for gig workers and many others trying to access federal government benefits.
Claims for unemployment insurance began a historic rise in mid-March and have topped 38.6 million since then. In numerous state's rural counties, retail establishments were allowed to reopen earlier this month, and restaurants this week. Restaurants can reopen dining rooms Friday at 33% capacity.
"The COVID-19 virus continues to impact the number of initial claims and insured unemployment", the department wrote.
"I take the department's responsibility to report accurate, concise data about unemployment in Maine seriously, and we will adjust our practices to do so in the wake of new federal programs", said state Labor Commissioner Laura Fortman in a statement. "Our only focus remains getting benefits into the bank accounts of every worker as quickly as possible".
In Massachusetts, eligible applicants can get unemployment benefits for up to 30 weeks, but the extended unemployment program allows people who may soon exhaust their benefits another 13 weeks of paychecks.
This is a breaking story and will be updated.