Sen. Lindsey GrahamLindsey Olin GrahamTop Louisiana health official rips Cassidy over ObamaCare repeal bill Senate Dems hold floor talk-a-thon against latest ObamaCare repeal bill Overnight Defense: Senate passes 0B defense bill | 3,000 US troops heading to Afghanistan | Two more Navy officials fired over ship collisions MORE (R-S.C.) was clear Sunday on what he wants in a 2012 GOP presidential nominee: "the most electable conservative."

But the senator was pressed on NBC's "Meet the Press" on specifically which of the current names believed to be in the ring would deliver.

"Probably [Mitt] Romney," Graham said.

"He's got his problems as a candidate, but so does everyone else," he said.

Graham said that the ideal candidate would have to address a broad range of issues from immigration reform to gas prices creeping toward $4 a gallon.