Rush Limbaugh said on Thursday that he would decline any offer to moderate Republican presidential debates because he was "too famous" for the job.

A Thursday Washington Examiner report said that the Republican National Committee (RNC) was considering conservative radio hosts like Limbaugh, Sean Hannity and Mark Levin as debate moderators.

"It makes a lot of sense," one source told the website. "We'd get a huge viewership, they'd make a lot of news and maybe have some fun too."

But Limbaugh wasted no time dismissing the idea.

"I don't see how I can do it," he told his radio listeners on Thursday. "I'm too famous. This business about moderating Republican debates."

"I think I'd overshadow it. I think I'm too famous. It'd be a tough call. It'd be a real, real, real tough call," he continued. "Well, yeah, yeah, yeah. It could get ratings, I mean there's no question about that. Anyway, it's an idea that's out there."

RNC Chairman Reince Priebus has threatened to pull debates off of NBC and CNN if the networks move forward with plans to air shows about former Secretary of State Hillary Clinton. Priebus has told Fox News that he was attempting to “control the referees” because CNN and NBC were “not in the business of promoting our party.”

Listen to this audio from The Rush Limbaugh Show, broadcast Aug. 15, 2013.

(h/t: Media Matters)