The program, “Countering Violent Extremism,” or CVE, would be changed to “Countering Islamic Extremism” or “Countering Radical Islamic Extremism,” the sources said, and would no longer target groups such as white supremacists who have also carried out bombings and shootings in the United States.

Such a change would reflect Trump’s election campaign rhetoric and criticism of former President Barack Obama for being weak in the fight against Islamic State and for refusing to use the phrase “radical Islam” in describing it. Islamic State has claimed responsibility for attacks on civilians in several countries.

The CVE program aims to deter groups or potential lone attackers through community partnerships and educational programs or counter-messaging campaigns in cooperation with companies such as Google (GOOGL.O) and Facebook (FB.O).