Updated

Sen. Lindsey Graham, R-S.C., fueled rumors Tuesday that he might consider a 2016 presidential run, telling Fox News Radio that America’s next leader should focus on the country’s fiscal health, immigration and national security.

“I believe the next president of the United States needs to be a good commander-in-chief. I know I could be a good commander-in-chief,” he said on the “Kilmeade and Friends” radio show.

However, Graham would not confirm he’d run.

“I will let you know,” he said. “What I am going to do is look at the field. We have a lot of good guys out there.”

Graham was easily re-elected to the Senate in November. He beat out six GOP primary rivals who cited his history of negotiating with Democrats as proof that he wasn't conservative enough to represent the southern state.