Maryland’s two U.S. senators, Ben Cardin (D) and Chris Van Hollen (D), joined the overwhelming majority of senators who supported the package.
Legislative package includes several foreign policy measures and protections against fentanyl coming into the country.
Resolutions await vote in a House committee as a key deadline approaches and a Senate version is unlikely to get a vote.
Time is short and the House of Representatives does not return from recess until Wednesday night.
Nine governors have written to the president and congressional leaders on immigration policy.