The modification had been expected to decrease the number of states on the list.
Currently, a state needed 10 cases per 100,000 or a 10% positivity rate to be included on the list. Lamont had suggested it would be changed to 10 cases per 100,000 and a 5% positivity rate, and a state would have to hit both of the metrics to be put on the travel advisory list.
"The other threshold was so broad that it was including about 85% of our states across the country," Lamont said previously. "It was becoming unenforceable."
Related: Cuomo urges against non-essential travel to NJ, CT
Lamont now says New York, New Jersey and Connecticut are keeping the Tri-State Travel Advisory as is, and the three states will not put each other on their own travel advisory. Instead, they will treat themselves as a region and discourage non-essential travel between the three.
"We are going to keep our overall travel advisory in place for all the other states, but for New York, New Jersey and Connecticut, we are going to have a pact where you don't have the travel advisory that impacts the three of us when we travel amongst each other," he said.
Related: New Jersey's coronavirus cases on the rise, sparking concern and action
Connecticut's positivity rate is currently 3%, which Lamont said is a reflection of increasing numbers of positive results around the region and the country.
Lamont said the state will continue to issue fines for Connecticut residents and out-of-state residents who violate the quarantine and state notification rules. As of last week, the state has issued 45 fines, most to people from Connecticut.
Related: New York City's COVID cluster restrictions could be changed in some zones
"Obviously at that point, my strong recommendation would be, stay close to home as much as you can," he said. "We've always had an exception for 24 hours, if you have to go into the city for some work-related, essential activity. So there would be ways to work around it. But stay close to home if that happens."
As of Monday, there have been 4,554 COVID-related deaths, 12 more since Friday.
RELATED: Coronavirus Update: 3 states added, none removed from Tri-State Travel Advisory quarantine list
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