The Senate would pass those bills before a Friday midnight deadline, and Congress also would consider a short-term extension for homeland security operations, which would prevent an interruption of services by the Transportation Security Agency, Coast Guard and Federal Emergency Management Agency.

That stopgap bill would provide time for talks between lawmakers and the White House to draft a new homeland security spending bill that would include new restrictions that Democrats have demanded on the tactics of immigration enforcement officers and more accountability for those accused of using excessive force.