Donald Trump Campaign Manager Kellyanne Conway and a key Trump surrogate, Alabama Sen. Jeff Sessions, suggested Sunday that Trump is rethinking his plan to deport approximately 11 million illegal immigrants currently in the country.

Asked by CNN's Dana Bash if Trump continues to support "a deportation force removing the 11 million or so undocumented immigrants," Conway at first dodged the question.

"What he supports is to make sure that we enforce the law, that we are respectful of those Americans who are looking for well-paying jobs, and that we are fair and humane for those who live among us in this country," Conway said. "And as the weeks unfold, he will lay out the specifics of that plan that he would implement as president of the United States."

Pressed about whether the plan would include a deportation force, Conway replied, "To be determined."

The Republican presidential nominee has spent months promising to build a wall along the Southern border and to discourage illegal immigration by removing those who came to the U.S. without authorization.

But in a meeting Saturday with Hispanic leaders in New York, Trump avoided committing to his proposal to deport 11 million illegal immigrants as president, Sessions said.

During the meeting with his campaign's National Hispanic Advisory Council and Republican National Committee officials, Sessions said it was clear that Trump was "wrestling" with how to pursue immigration reform in a humane and efficient manner.

"He's wrestling with how to do that. People that are here unlawfully, came into the country against our laws, are subject to being removed. That's just plain fact," Sessions, the chairman of Trump's Foreign Policy Advisory Committee, told CBS' John Dickerson.

"Yeah, there was a little confusion about his position, but you're pretty certain about where he is in removing the 11 million from the United States?" Dickerson interjected.

"Well, what I'm certain about is that he did not make a firm commitment yesterday, or the meeting the other day, about what he will do with that," Sessions responded. "But he did listen and he's talking about it."

He continued "I think first and foremost [Trump] has made clear that we end the illegality. We fix our border and secure it. That can be done with the president alone, really, if he had the determination to do so. And Congress could help make it even better."

"And then we'll have to think about what's the right thing to do," Sessions said, noting that Trump "listened to a lot of people" during the confab on Saturday but avoided making "any commitments."

"He's thinking that through. I think that's the right thing. But he is absolutely committed to the first thing that has to be done and that ends the lawlessness, to protect Americans from danger and to protect American jobs from excessive flows of labor that pull down wages and job opportunities for Americans," he said.