Sen. Rand Paul (R-Ky.) said Monday the only decision he's made about a potential 2012 presidential campaign is that he won't run against his father — Rep. Ron Paul (R-Texas). 

The elder Paul is seriously weighing another run for the GOP presidential nomination in 2012, while his son, Tea Party star Rand Paul, has teased the idea of his own campaign next year. 

During an appearance Monday in South Carolina, the first-term senator said part of the reason he's traveling to early primary states is because he wants the Tea Party "to have an influence over who the nominee is in 2012," according to the South Carolina Post and Courier

On his own aspirations, Paul said, "The only decision I've made is I won't run against my dad." 

In an interview with ABC News last month, Rand Paul said of a potential presidential campaign in 2012, "Come back and ask me in a few months."