Many travelers with plans to head to — or from — the United States for business or leisure are reassessing or even canceling their trips in response to President Donald Trump's immigration policies, travel experts say.

After Trump's inauguration and the first executive order temporarily banning travel to the U.S. from certain countries, travel analysts at Forward Keys and airfare search site Hopper saw flight bookings and searches to the U.S. slip.

"International trends in bookings to the U.S. are down 6.5 percent compared with the equivalent period the year before," Forward Keys noted. "Trump's travel ban is putting off people traveling to the U.S. from many regions of the world, beyond the Middle East."

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And while demand has recovered slightly since the initial travel ban was overturned, "It is still well below expected levels," said Hopper data analyst Patrick Surry in an analysis of the travel ban's impact on international travel.

On Tuesday, Hopper analyzed flight search demand from international origins to the U.S. for the three weeks prior to Trump's inauguration through March 6th and found overall searches down about 10 percent compared to the same period last year, with 102 of 122 origin countries showing declines.