Gov. Charlie Baker listens as Marylou Sudders, Secretary of Health and Human Services speaks during a media briefing on Oct. 27, 2020. Photo by Suzanne Kreiter | Globe Staff/Pool

New York state now “highly discourages” any non-essential travel to and from Massachusetts, Gov. Andrew Cuomo announced Tuesday, while Connecticut has added Massachusetts to its list of places whose travelers must self-quarantine after arriving in the Nutmeg State.

With COVID-19 cases on the rise, Massachusetts now meets the criteria – a seven-day average positive test rate of 10 percent or higher or 10 cases per 100,000 residents – that would place it on New York’s list of restricted-travel states.

However, because the two states share a border, Cuomo’s office said applying the same requirement for travelers to quarantine upon arrival “is not practically viable.”  The same recommendation without formal enforcement applies for Connecticut, New Jersey and Pennsylvania, while New York will require travelers to self-isolate for 14 days upon arrival from 41 states.

Massachusetts has a similar travel order and quarantine requirement in place, and New York has been on the list of lower-risk states exempt from the mandate since the order took effect in August.

Massachusetts has seen several straight days where roughly 1,000 new COVID-19 cases have been reported. Gov. Charlie Baker blamed much of that increase on Bay Staters under age 30 in a news conference yesterday, claiming that more than half the new cases have been traced to social gatherings and household transmission, while more than 30 COVID clusters have been linked to youth hockey games and practices.

“To keep case rates down, and help us not only keep people healthy, but also ensure that our hospitals continue to have the capacity they need to serve their patients, our young people need to be serious about dealing with COVID,” he said.

Baker also urged people to limit Thanksgiving gatherings to members of the same household, or if mixing households, limit the number of guests to as few as possible.

He also shed new light on the state’s decision last week to close indoor skating rinks for two weeks in response to an increase in cases linked to youth hockey games.

He blamed the closures on “irresponsible” parents and coaches who didn’t cooperate with state contact tracers, including some who refused to supply team rosters.

“Youth hockey needs to make some changes,” he said.

The Associated Press contributed to this report.