Addressing the American Enterprise Institute think-tank in Washington, Braverman said the United Nations refugee convention has expanded the definition of "persecution" and increased the number of people qualifying for refugee protection.
Almost 24,000 people have been detected crossing the Channel this year, despite Sunak's promise to "stop the boats".
In her speech, Braverman said asylum seekers should be obliged to make a claim in the first safe country they reach.
"The vast majority have passed through multiple safe countries, and in some instances have resided in safe countries for several years," Braverman said.
Reporting by Andrew MacAskill; Editing by Alex Richardson, Alexandra HudsonOur Standards: The Thomson Reuters Trust Principles.
Persons:
Suella Braverman, Peter Nicholls, Braverman, Rishi Sunak, Stewart McDonald, Andrew MacAskill, Alex Richardson, Alexandra Hudson
Organizations:
REUTERS, American Enterprise Institute, United Nations, Conservative Party, Britain, Scottish National Party, Alexandra Hudson Our, Thomson
Locations:
London, Britain, Washington, Rwanda, France