Indiana Republican state Sen. Mike Delph, who's still weighing a potential primary challenge to Sen. Dick Lugar (R-Ind.) next year, is pushing state lawmakers to take another look at his bill that would require presidential candidates to produce a birth certificate. 

Delph introduced a bill earlier this year to mandate presidential hopefuls produce the document in order to get on the ballot, but the measure is stuck in committee.

Now, he wants a legislative study committee to take up the issue, hoping it will gain some additional traction, telling a local radio station that he thinks a "trust but verify approach" is reasonable.

Delph had been urged by some activists to challenge Sen. Dick Lugar (R-Ind.) in a primary next year, and even with State Treasurer Richard Mourdock in the race, Delph still hasn't officially ruled out a bid.

On Monday, Arizona Gov. Jan Brewer (R) vetoed a bill passed by the GOP-led legislature in that state that would have required candidates to prove they were born in the U.S. in order to get on the state's presidential ballot.

In an interview on Fox News Monday night explaining her veto, Brewer told Greta Van Susteren that she felt "very, very uncomfortable" with the bill, saying, "I feel that it serves no purpose."