(CNN) - Rand Paul said the Kentucky law that prohibits candidates from appearing more than once on a ballot won’t stop him from running for president and his Senate seat in 2016, if he chooses to make a White House bid.
“We do think about it, but ultimately it's not something that will probably deter the process, if we make a decision," the Republican senator told the Associated Press on Thursday.
A bill that would allow Paul–and other candidates–to simultaneously run for two federal offices died in April when the Kentucky legislature adjourned for the year. The bill had passed the Republican-controlled state Senate, but stalled in the Democratic-controlled state House of Representatives.
Paul is now actively campaigning to help Republicans retake the state House.
In the interview Thursday, the first-term senator also didn't rule out the idea of a court challenge.
"We haven't really decided, but that is an option," he said.
Paul wouldn't be the first presidential candidate to seek re-election to his current job at the same time. Wisconsin Rep. Paul Ryan ran for re-election to his seat in 2012 while serving as the GOP vice presidential nominee on Mitt Romney's ticket. Then-Sen. Joe Biden also ran for re-election in Delaware while
simultaneously serving as then-Sen. Barack Obama's running mate in 2008. And then-Sen. Joe Lieberman, who was Vice President Al Gore's running mate in the 2000 election, also ran for re-election to his Senate seat in Connecticut.
"Can you really have equal application of federal law if someone like Paul Ryan or Joe Lieberman can run for two offices but in Kentucky you would be disallowed?" Paul said. "It seems like it might not be equal application of the law to do that. But that means involving a court, and I don't think we've made a decision on that. I think the easier way is to clarify the law."
Another potential presidential candidate, Republican Sen. Marco Rubio of Florida, has said he wouldn't seek to run for his Senate seat in 2016 if he campaigns for president.
“I believe that if you want to be president of the United States, you run for president,” he recently told ABC News. “You don’t run for president with some eject button in the cockpit that allows you to go on an exit ramp if it doesn’t work out."