Airlines for America, representing major US air carriers, and the US Travel Association, representing the broad travel and tourism industry, said they argued the requirement does not match the current threat from Covid-19. They also say the requirement is harming the US economy.

“Quite frankly, the only impact the pre-departure testing requirement is having is a chilling effect on an already fragile economy here in the U.S.,” Airlines for America chief Nick Calio said in a statement after the meeting.

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Roger Dow of the US Travel Association said in a separate statement that while restrictions on many other businesses have been lifted, “the travel industry remains disproportionately harmed by this requirement.”

“Other countries with whom we directly compete for global travelers have removed their pre-departure testing requirements and reopened their tourism economies, putting the U.S. at a serious competitive disadvantage for export dollars,” Dow said.

Airlines for America said its members — including American Airlines, United Airlines, Southwest Airlines and Delta Air Lines — believe lifting the requirements would lead more foreigners to visit the United States. They said that in mid-May, domestic travel came within 7 percentage points of pre-pandemic levels, but international travel lagged at 14% below normal.

The industry has criticized the policy as out of date for months.

CNN has reached out to the White House for comment.