Republican voters would like to see Rick Santorum or Sen. Marco RubioMarco Antonio RubioHillicon Valley: Supreme Court takes up Apple case | Senate votes to block ZTE deal | Officials testify on Clinton probe report | Russia's threat to undersea cables | Trump tells Pentagon to create 'space force' | FCC begins T-Mobile, Sprint deal review Feehery: Betting on Trump Senate votes to block Trump's ZTE deal 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 RyanTrump digs in amid uproar on zero tolerance policy Mark Sanford’s troubles did not begin with Trump NY Post blasts Trump, GOP over separating families at border 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 PortmanHarvard biz school honors Wilbur Ross GOP senators blast White House aide over trade remarks Community development impact remains clear with NMTC post-tax reform 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.