Republican presidential candidate Lindsey O. Graham said he was the only candidate who's advocating for comprehensive immigration policy and that Republicans will lose in 2016 if they embrace "self deportation," during his appearance on CBS's "Face the Nation" on Sunday.

"Mitt Romney and Ann Romney did our party a great service by admitting that embracing self deportation in 2012 was their biggest mistake," he said.

The senator from South Carolina characterized self deportation as unrealistic, but said he supported a "hard-earned pathway to citizenship" that includes a requirement to learn English and "getting in the back of the line."

"You're not going to self deport 11 million people," he said. "You're not going to be able to do that. I'm not going to be a Republican nominee wanting to try to do that. If you pass a criminal background check, I'll allow you to stay here legally and earn your way to citizenship. It'll be a hard-earned pathway."