Ryan to ask House to 'pause' US refugee program

House Speaker Paul Ryan plans to introduce legislation this week to suspend the U.S. refugee program amid political wrangling over the fate of Syrian migrants.

The Wisconsin Republican earlier Tuesday joined some lawmakers and numerous state governors in calling for a halt on refugee settlement after the deadly terrorist attacks in Paris last week. Senate Majority Leader Mitch McConnell, R-Ky., also urged a suspension or stop of the refugee program Tuesday.

On Monday, the State Department said it would not change its plan to accept 10,000 Syrian refugees in the next year amid ongoing conflict in the country. States do not have the authority to refuse entry to migrants because resettlement is federally funded.

Many Democratic governors continue to support the refugee plan. Others, including Florida Gov. Rick Scott, have urged Congress to take action.

See CNBC's full Paris coverage here

In the days since the attacks, Republican governors of about 30 states expressed reservations about new settlement of migrants, citing security concerns. One Democrat — Gov. Maggie Hassan of New Hampshire — urged the federal government to stop admitting refugees until more is known about its vetting process.

Europe's migrant policy has been in focus after it emerged that a suspected attacker may have entered the bloc through Greece. Some European policymakers have urged restraint on a tough response.

The White House plans to hold a conference call with governors later Tuesday, according to Reuters, citing media reports. It was not immediately clear how many states would participate.

The Senate's top Democrat, Harry Reid of Nevada, said Tuesday that he expects the White House will say more on refugee policy soon.

President Barack Obama addressed the refugee plan at the G-20 meeting in Turkey on Monday. He called suggestions from political leaders that a religious test be applied to refugees seeking asylum in the U.S., "shameful."

"That's not American," he said. "That's not who we are. We do not have religious tests to our compassion."

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Other groups have decried a potential suspension of the refugee program. In a statement Monday, the Council on American-Islamic Relations criticized calls to bar refugees from the U.S, saying they were the wrong response to terrorism.

"Defeating ISIS involves projecting American ideals to the world. This un-American rejection of refugees, who will face significant security checks prior to entry, sends entirely the wrong message," the organization said.

— CNBC's Reem Nasr and Reuters contributed to this report.

Correction: This story has been updated to reflect that more than 20 Republican governors expressed reservations about taking refugees, but only some said they would attempt to stop resettlement in their states. It has also been updated to reflect that states cannot choose whether to allow refugees.