The survey, released on Friday, finds that the harsh words repeatedly used by Perry to define his stance on the program are largely non-issue for members of his party.
"As many Republicans say they are more likely to vote for Perry for president because of his views on Social Security as say they are less likely," Gallup's report explains.
In a GOP presidential debate held last week, which was Perry's first of the election season since announcing his candidacy, the Texas governor stood by a charge he makes in his book describing Social Security as a "Ponzi scheme." In taking aim at the 80-year-old program he argued, "You cannot keep the status quo in place."
Despite criticism from both sides of the aisle, Perry has not relented on his claim. In an interview with Time this week he said of Social Security, "If you want to call it a Ponzi scheme, if you want to say it’s a criminal enterprise, if you just want to say it’s broken -- they all get to the same point."
Below, video of Perry's comments on Social Security during his first GOP presidential debate appearance.