He met virtually with the regions' governors Sunday, and they agreed future steps are "not a matter of lockdown, not a matter of shutdown."
Instead, further restrictions will target where the spread is occurring.
Indoor shopping is not believed to be a source of spread. Neither are schools, "especially at the lower grades."
"We're going to be looking at gyms," Lamont said. "We're going to be looking at indoor dining. We'll be looking at churches if we have to."
Lamont warned students coming home from college for the holidays to self-isolate for 14 days before or after returning.
And no "parties and reunions, that goes without saying," Lamont said.
An additional 4,639 positive cases were reported on Monday with 22 new deaths. The statewide positivity rate is at 5.38%.
Meanwhile, Lamont is also requesting the National Guard continue supporting the state's COVID-19 response efforts through the middle of next year and he's asking the Trump administration to pay for it.
More than 1,000 members are in the state helping to set up field hospitals, distributing PPE and running test sites.
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