Also Thursday, the Republican Governors Association said it considers Haley's lead so imposing that they have no plans to support her financially in the runoff.
"A bonfire 60 feet high doesn't need more fuel poured on it," RGA Executive Director Nick Ayers told CNN. "Nikki's going to be just fine."
The poll, which surveyed likely GOP primary voters on Wednesday, comes as both campaigns are jousting for media exposure and dialing donors for last minute contributions.
Results of the survey were provided to CNN by a source close to Haley. CNN cannot independently verify the methodology of the poll.
The poll shows that Haley's support has shot up 13 points since her dominant showing in Tuesday's Republican primary and she now leads Barrett by a 62-28 margin, according to the poll. Haley finished with 49 percent of the vote on Tuesday, while Barrett trailed a distant second with 22 percent.
Perhaps even more impressive is that the Haley poll indicates 74 percent of primary voters have a favorable view of Haley, while just seven percent have an unfavorable view.
Haley is beating Barrett among those voters who supported Attorney General Henry McMaster in the primary, while she is losing to Barrett among voters who backed Lt. Gov. Andre Bauer. McMaster and Bauer did not qualify for the runoff, which is scheduled for June 22.
"That’s a very interesting one night poll," Barrett adviser Terry Sullivan said when asked for reaction to the numbers. "No reputable pollster would have any confidence in that data, but it also doesn’t take into account that once voters find out that she voted for the Obama stimulus twice and voted to increase the budget by $2 billion in her tenure in the legislature, we think the results will be slightly different."
Haley has said her votes to include stimulus money in the South Carolina budget were simply procedural.