"They go up and then they come down, because there's no staying power,
there's no sustainability there. And all I'm saying is I've got a track
record. I'm a consistent conservative, when you look at my record," said Huntsman on CNN's "Fareed Zakaria GPS," set to air Sunday.
Newt Gingrich took the lead in the Republican field with 37 percent in the first national poll to completely exclude ex-rival Herman Cain — who suspended his campaign Dec. 3 over sexual harassment and infideulity allegations — released by Gallup Friday.
Huntsman took 1 percent at the bottom of the GOP field.
When pressed on whether he thinks Gingrich's candidacy will fade, Huntsman said, "it's hard to know."
"We'll have to see where the marketplace goes."
Huntsman was also critical of fellow GOP contenders for signing tax pledges and meeting with celebrity businessman Donald Trump.
"I'm not going to bluster. I'm not going to contort myself into somebody I am not. And I'm not going to sign those silly pledges like everybody else has done. And I'm not going to make that sojourn to Donald Trump's office," he said.
Trump has been a strong presence throughout the primary process, meeting privately with many of the candidates, including Mitt Romney, Rick Perry, Cain, Bachmann and Sarah Palin.
The real estate mogul has garnered a lot of controversy after it was announced he would host a GOP debate in December.
However, only former Sen. Rick Santorum (Pa.) and former Speaker of the House Newt Gingrich agreed to participate in the forum. All of the other candidates have declined — some said they had scheduling conflicts and others slammed the debate for Trump's involvement.
Huntsman, the former governor of Utah, has been very vocal in the media about his opposition to the debate, calling the debate a "joke" earlier this week.
"This is a serious debate that we ought to be having here in the United States," said Huntsman on NBC's "Today" show Tuesday. "I believe that the presidency of the United States of America is beyond reality shows … this is a joke."