The chairman of the Republican National Committee said Tuesday that he would like for the Supreme Court to overturn more campaign finance restrictions -- including the limit on the amount of money someone can give to an individual or a political party.

Last week, in McCutcheon v. FEC, the Supreme Court struck down the limit on the overall amount people can give to all candidates and parties per election cycle but left in place the limits in individual contributions. Those limits are currently $2,600 per election per candidate and $32,400 per party committee per year.

RNC Chairman Reince Priebus said on Hugh Hewitt's radio show that he'd like to get those limits struck down too.

"I don’t think we should have caps at all," Priebus said.

Asked whether the RNC would look to join in such a challenge -- as it did with McCutcheon -- Priebus said it would, among other deregulation efforts.

"Absolutely, I would," Priebus said. "And I would look to cases that allow us to raise soft money, and I would look to cases that allow us to raise money for the conventions, and -- but disclose it all. That's kind of where I'm at personally."

Priebus said he supports disclosure of who made the contributions, but he said he was even conflicted about that, noting that it allows people to target individuals and businesses for their political contributions.

Some cried foul last week after Mozilla's CEO was forced out of the company over his contribution to the 2008 campaign for a gay marriage ban in California.

"So I mean, even [campaign finance rules] that I want to agree with are getting to be very difficult," Priebus said.