UPDATED: On Wednesday afternoon in a chat on her Facebook page, Haley said she prefers either Louisiana Gov. Bobby Jindal or former Secretary of State Condoleezza Rice for VP (see screenshot of Facebook page).
Two of the much bandied-about candidates for a potential vice presidential spot with presumptive GOP nominee Mitt Romney appear to be out of the running.
On radio station WTOP Tuesday, Virginia Gov. Bob McDonnell all but ruled out the possibility of joining Romney.
"I am not being vetted by his campaign," McDonnell told the radio audience.
That doesn't completely shut the door if the Romney campaign came calling. McDonnell has not said he would say "no" to the VP slot if it were offered.
Meanwhile, South Carolina Gov. Nikki Haley appears to be out of the running while still being committed to the campaign of the former Massachusetts governor, according to her spokesperson Rob Godfrey.
"Governor Haley has made it very clear that, while she's a huge supporter of Governor Romney and will do whatever she can to help him win the White House, she is not interested in being vice president," Godfrey said. "So, no, her name has not been submitted for the process nor will it be."
McDonnell, who received 59 percent of the vote before he was sworn in as the 71st head of the Commonwealth in 2010, said he plans to serve out his term, which ends in January 2014.
McDonnell became chairman of the Republican Governors Association in 2011 and campaigned for Romney in South Carolina .
Even if he is not vetted for VP, McDonnell said he plans to help Romney win his state. "But I'm going to do everything I can to help him in Virginia," he told NBC's Chuck Todd this week.
South Carolina is considered to be solidly for Romney but an NBC/Marist poll last week showed Obama with a 4-point lead over Romney in Virginia. The poll asked how Obama would do in Virginia in a match-up between the Obama/Biden ticket and Romney and McDonnell as a team. The poll said Obama would get 46 percent of the vote, and Romney 44 percent of the vote.