WASHINGTON -- Sen. John McCain (R-Ariz.) on Tuesday morning took a not-so-subtle swipe at the pollsters who staffed Mitt Romney's presidential campaign, saying that their data had been uninformed and suggesting that they should return their paychecks.

"I was reminded of my old friend [former Rep.] Mo Udall saying, 'May the words I utter today be tender and sweet because tomorrow I may have to eat them,'" McCain said at The Atlantic's Washington Ideas Forum. He then dispensed with the diplomatic caution.

"That is certainly the case with our pollsters and our estimates," he said. "Look, there are going to be a whole lot of post-mortems. They are already going on. But it is obvious they were using the wrong model, and we questioned that model from things we were hearing on the ground as we traveled for two months, without a day off, around this country campaigning for our candidates and for Mitt Romney. We were hearing things on the ground that contradicted these pollsters. One of the first things I would say is maybe some of those pollsters ought to give some of their money back."

The comments reflect a widely held belief from within the GOP that there was something off about the data Republican candidates were relying on in the lead-up to the 2012 elections. The results bore this out.

But McCain is an odd source to air these complaints. The pollster that he used for his 2008 White House bid, Bill McInturff, and Romney's pollster, Neil Newhouse, are both partners at the same firm, Public Opinion Strategies.

Newhouse declined to comment on McCain's statement. But McInturff offered a response.

"Senator McCain is this party's most in demand and effective surrogate," he said in an email. "John has tirelessly traveled, campaigned, and worked for a Republican majority in the Senate and is rightly frustrated by the combination of events over two cycles that have cost us that majority. Our firm has commented about our own thoughts about polling this cycle and posted them on our blog."

That blog post, published on Nov. 12, reads as follows:

Across multiple campaigns with which we worked, our research did what it is designed to do – provide strategic counsel to campaigns about key target groups and messages designed to help them win. That’s how we were able to help the Republican party gain the one Senate seat it did pick up (Senator-elect Deb Fischer in Nebraska), and poll for two of the four GOP Congressional challenger winners, as well as ten new Members of Congress overall.

In the new normal – Presidential year turnout of significantly more Democrats than Republicans, as well as more minorities and more younger voters than ever before – Public Opinion Strategies is dedicated to facing head-on the difficult challenges the industry faces in reaching and accurately measuring our changing nation.

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  • 2012 -- Mitt Romney

    Republican presidential candidate, Mitt Romney, speaks at the podium as he concedes the presidency on November 7, 2012 in Boston, Massachusetts. (Photo by Matthew Cavanaugh/Getty Images)

  • 2008 -- John McCain

    Sen. John McCain, R-Ariz., gestures to his supporters, while his wife, Cindy looks on during his concession speech at the Arizona Biltmore in Phoenix, Tuesday, Nov. 4, 2008. (AP Photo/Elise Amendola)

  • 2004 -- John Kerry

    Former Democratic presidential candidate U.S. Senator John Kerry (D-MA) stands on stage with his wife Teresa Heinz Kerry after delivering his concession speech at Faneuil Hall on November 3, 2004 in Boston, Massachusetts. (Photo by Chris Hondros/Getty Images)

  • 2000 -- Al Gore

    Democratic presidental candidate Al Gore leaves the voting booth after casting his vote at Forks River Elementry School in Elmwood, Tennessee on November 7, 2000. (TIMOTHY A. CLARY/AFP/Getty Images)

  • 1996 -- Bob Dole

    Republican presidential candidate Bob Dole lowers his head while making his concession speech to supporters at a Washington hotel, on Tuesday, Nov. 5, 1996. (AP Photo/J. Scott Applewhite)

  • 1992 -- George H.W. Bush

    U.S. President George Bush concedes the election on Nov. 3, 1992 after losing to President-elect Bill Clinton. (BOB DAEMMRICH/AFP/Getty Images)

  • 1992 -- Ross Perot

    U.S. independent presidential candidate Ross Perot delivers his concession speech on November 3, 1992 after Democrat Bill Clinton won the presidential election. (Photo credit should read PAUL RICHARDS/AFP/Getty Images)

  • 1988 -- Michael Dukakis

    Democratic presidential candidate Michael Dukakis wipes his upper lip during the first presidential debate with his opponent U.S. Vice President George Bush in Winston-Salem, N.C. on Sept. 25, 1988. (AP Photo/Bob Jordan)

  • 1984 -- Walter Mondale

    Defeated presidential hopeful Walter Mondale addresses supporters at night, Tuesday, Nov. 7, 1984 at the St. Paul Civic center, conceding to President Reagan. (AP Photo/Jim Mone)

  • 1980 -- Jimmy Carter

    U.S. President Jimmy Carter concedes defeat in the presidential election as he addresses a group of Carter-Mondale supporters in Washington, D.C., on Tuesday, Nov. 4, 1980. (AP Photo/Barry Thumma)

  • 1976 -- Gerald Ford

    President Gerald Ford speaks in the White House Press Room in Washington on November 3, 1976, conceding defeat to Jimmy Carter. (AP photo/ stf)

  • 1972 -- George McGovern

    Sen. George McGovern and his family in Sioux Falls, election night, Nov. 7, 1972 after he was defeated by Richard Nixon, and conceding the election. (AP Photo)

  • 1968 -- Hubert H. Humphrey

    Vice President Hubert H. Humphrey spaks at the Alfred E. Smith memorial dinner in Waldorf Astoria on Oct. 16, 1968 in New York. (AP Photo/John Lent)

  • 1964 -- Barry Goldwater

    A contact sheet of Republican senator Barry Morris Goldwater of Arizona concedes the 1964 presidential election to President Lyndon Johnson at a press conference held at his campaign headquarters at the Camelback Inn, Phoenix, Arizona, on November 4, 1964. (Photo by Washington Bureau/Getty Images)

  • 1960 -- Richard Nixon

    Vice President Nixon points to home-made sign at airport as he arrives in home state to cast his ballot on Nov. 8, 1960 in Ontario, California. (AP Photo)

  • 1956 -- Adlai Stevenson

    Sen. John F. Kennedy of Massachusetts talks with Democratic presidential candidate Adlai Stevenson on August 12, 1956 in Chicago. (AP Photo)

  • 1952 -- Adlai Stevenson

    Movie Actress Piper Laurie (left) is wearing a donkey head beauty spot on her cheek as she chats with Gov. Adlai Stevenson of Illinois, Democratic presidential nominee in Portland on Sept. 8, 1952. (AP Photo)

  • 1948 -- Thomas Dewey

    Dewey ran as the presidential candidate of the Republican Party in the elections of 1944 and 1948. (Photo by Fox Photos/Getty Images)

  • 1944, 1948 -- Thomas Dewey

    Thomas Dewey (1902 - 1971) Governor of the State of New York broadcasting over the 'Crusade of Freedom' radio. Dewey was the presidential candidate of the Republican Party in the elections of 1944 and 1948. (Photo by Keystone/Getty Images)

  • 1940 -- Wendell Wilkie

    Wendell Willkie, rehearses a report to the nation at a New York City radio station on Oct. 26, 1942. Willkie was President Roosevelt's personal representative, and his Republican opponent in the 1940 presidential elections. (AP Photo/Murray Becker)

  • 1936 -- Alf Landon

    Gov. Alf M. Landon, G.O.P. presidential nominee, voting in Independence, Kansas on Nov. 3, 1936. (AP Photo)

  • 1932 -- Herbert Hoover

    Herbert Hoover is shown leaving Madison Square Garden, Oct. 31, 1932 in New York City, after delivering his major campaign address before a crowd estimated at 22,000. (AP Photo)

  • 1928 -- Alfred E. Smith

    Governor Alfred E. Smith speaks in New York on Nov. 2, 1928. (AP Photo)

  • 1924 -- John W. Davis

    John W. Davis, Democratic nominee for President of the U.S., and his wife, are pictured on the estate of Charles Dana Gibson at Seven Hundred Acre Island in Dark Harbor, Maine on July 21, 1924. (AP Photo)

  • 1920 -- James M. Cox

    Democratic candidates for the presidency and vice-presidency of the United States, Governor James M Cox and Franklin Delano Roosevelt (1882 - 1945) are seen at the head of a nomination parade in Dayton, Ohio on Nov. 1, 1920. (Photo by Topical Press Agency/Getty Images)

  • 1916 -- Charles Evans Hughes

  • 1912 -- Theodore Roosevelt

    Theodore Roosevelt during the progressive campaign of 1912. (AP Photo)