House Budget Committee Chairman Paul Ryan, R-Wis., demurred at the chance to promote himself as Mitt Romney's running mate on Sunday's Meet The Press.

Look, I'm not going to get into the internal process of another campaign, he said on the NBC talk show. I'm focused on doing my job here as a Wisconsin congressman, as a Budget Committee chairman. So I'm just not going to get into that speculation.

The speculation regarding who tops Romney's list of VP candidates has ramped up since the former Massachusetts governor essentially locked up the Republican Party's nomination.

The list of potential candidates -- and the long, flirtatious dance that ensues -- includes Sen. Marco Rubio, R-Fla., former Minnesota Gov. Tim Pawlenty, New Mexico Gov. Susana Martinez and New Jersey Gov. Chris Christie.

But Ryan's prolonged campaign swing and endorsement of Romney earlier this spring, as well as his tag as a rising star within the party, has him garnering a significant amount of attention.