The Secretary of Education stirred up controversy when she said it was up to schools to decide if an undocumented student should be reported to authorities.
Advocates of programs to support non-public schools say that they are implemented at the state level within existing agencies and question the claim by Ms. DeVos that a federal law would lead to more bureaucracy.
The episode is the latest in a years-long struggle for Catholic colleges to balance support for diverse student populations while adhering to church teaching.