More than six in 10 Americans who immigrated to the U.S. agree with Donald Trump's recent suggestion that those seeking to enter the country should face an ideological test of some kind, according to a survey released by Morning Consult on Thursday.

Sixty-one percent of respondents said immigrants and refugees should have their support for American values confirmed before they are given visas and authorized to enter the U.S., while 26 percent oppose the installment of such a test.

During a speech on Monday, Trump said the U.S. is "overdue to develop a new screening test for the threats we face today."

"In the Cold War, we had an ideological screening test," he told voters in Ohio, calling his modern proposal, "extreme, extreme vetting."

The same survey found overwhelming support among first-generation immigrants for Trump's plan to temporarily suspend immigration from countries with ties to terrorism — 68 percent support the ban, while 22 percent oppose it.

Trump initially called for a "total and complete ban" on non-American Muslims seeking to enter the U.S., but has since refined the proposal to apply to "volatile regions in the world who have a history of exporting terrorism."

Nearly three-quarters of first generation immigrants were also supportive of Trump calling on the U.S. to pursue a closer anti-terror collaboration with Russia, especially as both countries look to defeat the Islamic State terrorist organization in Iraq and Syria. Sixty-two percent of immigrants who came to the U.S. more recently said they back Trump's call for improved relations with Russia.

The survey of 2,001 registered voters was conducted between August 16-17. Results contain a margin of error plus or minus 2 percentage points.