Republican voters would like to see Rick Santorum or Sen. Marco RubioMarco Antonio RubioRyan pledges 'entitlement reform' in 2018 Richard Gere welcomes lawmakers' words of support for Tibet Dem lawmaker gives McConnell's tax reform op-ed a failing grade MORE (R-Fla.) standing at Mitt Romney's side this fall, a new poll found.

Reuters-Ipsos poll released Thursday found Santorum and Rubio are the top choices among Republican voters to be Romney’s running mate.

Republican voters were presented with a list of 19 names, and a plurality, 18 percent, said Rick Santorum would be the best candidate to fill out the GOP ticket, while 17 percent went for Rubio.

Rubio was by far the most popular candidate with Tea Party supporters, and the only potential vice presidential pick to pull more than 20 percent with any of the groups represented in the poll.

In addition to being from a swing state with a large delegate prize, Romney might find Rubio’s Tea Party support appealing as a running mate, since he has struggled to win over some conservatives. Santorum came in second among Tea Party supporters with 16 percent.

But if Romney hopes to appeal to independents, Rubio performs dismally, pulling only 4 percent of their support. Santorum led among independents at 16 percent, and was followed closely by New Jersey Gov. Chris Christie and former Florida Gov. Jeb Bush (R).

Christie and Bush tied for third among Republicans in the poll, each pulling 13 percent, with former Arkansas Gov. and GOP presidential candidate Mike Huckabee taking 12 percent.

A number of potential VP picks who seemed to be gaining momentum recently barely registered in the poll.

Rep. Paul RyanPaul Davis RyanMcConnell names Senate GOP tax conferees House Republican: 'I worry about both sides' of the aisle on DACA Overnight Health Care: 3.6M signed up for ObamaCare in first month | Ryan pledges 'entitlement reform' next year | Dems push for more money to fight opioids MORE (R-Wis.), the author of the House Republican budget, campaigned with Romney in his home state last week but logged only 4 percent in the Reuters-Ipsos poll. Virginia Gov. Bob McDonnell, who appeared with Romney at a campaign stop in his home state on Thursday, didn’t even register in the poll.

Ohio Sen. Rob PortmanRobert (Rob) Jones PortmanMcConnell names Senate GOP tax conferees Overnight Finance: House approves motion to go to tax conference — with drama | GOP leaders to consider Dec. 30 spending bill | Justices skeptical of ban on sports betting | Mulvaney won't fire official who sued him How four GOP senators guided a tax-bill victory behind the scenes MORE, who many believe to be the safest pick, and therefore the likeliest, also failed to register in the poll, finishing behind Indiana Gov. Mitch Daniels, Louisiana Gov. Bobby Jindal and former Minnesota Gov. Tim Pawlenty.

The Reuters-Ipsos poll of 579 Republicans has a 4.7 percent margin of error, the poll of 308 independents has a 6.5 percent margin of error, and the poll of 317 Tea Party supporters has a 6.4 percent margin of error.