Agents also have been told to review government files to identify any jailed immigrants they might be able to release under the program, according to internal training materials obtained by The Associated Press.
The directives from the Homeland Security Department mark an unusual change for US immigration enforcement, placing the obligation on the government for identifying immigrants who might qualify for lenient treatment.
Previously, it was the responsibility of immigrants or their lawyers to assert that they might qualify under rules that could keep them out of jail and inside the United States.
The training materials apply to agents for Customs and Border Protection and Immigration and Customs Enforcement.
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They instruct agents "to immediately begin identifying persons in their custody, as well as newly encountered persons" who may be eligible for protection from deportation.
One training document includes scenarios describing encounters between agents and immigrants with guidance about how agents should proceed, with a checklist of questions to determine whether immigrants might qualify under the president's plans.
ICE officials earlier began releasing immigrants who qualified for leniency from federal immigration jails.
A spokesman for Customs and Border Protection, Carlos Diaz, said immigrants caught crossing the border illegally remain a top priority for the agency. The training documents for border agents, he said, "provide clear guidance on immigration enforcement operations so that both time and resources are allocated appropriately.