Louisiana Gov. Bobby Jindal said Wednesday he does not want to be considered as vice president on the GOP ticket, making him among a growing number of those pulling themselves out of the race.

"I look forward to continuing to be governor of Louisiana. This is a once in a lifetime chance to improve our state. We've cut six taxes but we've got a lot more work to do right here in Louisiana," Jindal told "FOX & Friends" on Wednesday.

Jindal said he did not have any inside information to disclose about speculation that John McCain could make a decision this week on his pick for the No. 2 spot.

"I've never talked to the senator about the vice presidency or his thoughts on selecting the vice president. I would certainly be surprised if they made a decision this week, but that's entirely up to the senator and his campaign. They'll make that decision I think when they're ready," he said.

Jindal said the ability to possibly serve as president is the most important quality for a vice presidential candidate.

"I think the most important thing in picking a vice president is not what state they come from, not what demographic they appeal to, but rather whether the senator thinks this person would be ready to be president if - God forbid - that situation arises. That's probably the only thing that should matter," he said.

On the Democratic side, Gov. Ed Rendell, who was a heavy supporter first of Hillary Clinton's campaign but came around to support Barack Obama when Clinton's loss was clear, also took himself out of consideration for the vice presidency.

Speaking Tuesday on MSNBC, Rendell said he has not been vetted by the Obama campaign, indicating he's not a focus for their search.

"I haven't been contacted by anybody - showing that the Obama campaign has good sense," Rendell said, adding that Obama would do well to get someone with better foreign policy experience than Rendell has.