New York Gov. Kathy Hochul said the state is willing to cooperate with the Trump administration's efforts to deport undocumented migrants suspected of entering the country illegally — but only under certain circumstances.

U.S. President Donald Trump's top homeland security official joined officers as they carried out an immigration arrest in New York City on Tuesday, the latest effort to promote Trump's nationwide crackdown as enforcement has intensified in recent days.

The new Homeland Security secretary, Kristi Noem, announced that she was on hand in the city to witness the arrest of an unauthorized immigrant connected to criminal activity.

New York is now one of the U.S. cities being targeted by federal officials as part of the Trump administration's crackdown on illegal immigration.

The state will cooperate with federal officials when a person is suspected of crossing the border without checking into an official port of entry, among other cases.