House Republicans introduced a short-term spending bill on Tuesday that would give the State Department an additional $300 million to aid migrants and refugees overseas, but with one major caveat.

None of the money could be spent to bring those refugees to the United States.

The proposal is one of several provisions buried in the 70-page continuing spending resolution that Republicans hope to pass this week to keep the government funded through April 28. Congress needs to pass some funding extension by Friday or risk a partial government shutdown.

The GOP language is a nod to the hundreds of thousands of refugees that have been displaced around the world, and particularly in Syria. But the language is explicitly that any help cannot direct those refugees to U.S. shores.

The language says $300 million in additional funding will "remain available... to respond to refugee and migration crises, including in Africa, Europe and Eurasia, the Middle East, and South and Central Asia."

"Except," it added, "that such funds shall not be made available for the resettlement costs of refugees in the United States."

Republicans have consistently sought to put limitations on allowing refugees into the country, over fears that U.S. vetting of these refugees isn't good enough to keep out potential terrorist threats. The State Department itself has admitted that Islamic State terrorists are trying to enter the U.S. by posing as refugees.

The problem was brought to light again late last month, when a Somali refugee was shot and killed after allegedly ramming people with his car and slashing them with a butcher knife at Ohio State University.

That attack again raised questions about how good the U.S. vetting system is, although the State Department defended the process as the " most stringent" system in place for migrants.

While Democrats may not like the GOP proposal, it's not even close to the most controversial item in the bill. Democrats are already making it clear they oppose a provision that would expedite passage of a bill that would change the law to allow retired Gen. James Mattis to become the next defense secretary.

That language could force Democrats to oppose the bill, and put at risk other provisions and full government funding after Friday.