Illegal immigrant demonstrators were protesting outside the White House on Monday – but don’t expect America’s immigration officers to intervene.

An Immigration and Customs Enforcement official indicated that even if the protesters end up getting arrested by D.C. police, they’d have to be serious criminals for ICE to get involved.

“Unless the individuals meet ICE’s enforcement priorities, it’s unlikely that the agency would get involved in the case,” the official told FoxNews.com.

Under a policy that’s been in effect for several years, ICE focuses deportation mostly on serious criminals and – in some cases -- those caught in the act of crossing the border. The agency prioritizes deportation for felons, repeat offenders, gang members and others with a serious criminal record. But the agency largely gives a pass to other undocumented residents.

This is why illegal immigrant activists can protest outside the White House without worrying too much about ICE.

They did so at lunchtime on Monday, marching across Lafayette Park to the White House and advocating a reprieve for illegal immigrant parents who brought their children to the U.S. – and whose children have benefited from a separate reprieve issued in 2012 by the Department of Homeland Security.

According to The Washington Times, illegal immigrant protesters also planned to demonstrate outside the White House on Monday afternoon, to call on immigration groups to boycott any administration meetings until illegal immigrants are included in those talks.