Washington (CNN) Pete Buttigieg on Sunday had a response to former Vice President Joe Biden's recent comment the former mayor of South Bend, Indiana, is not Barack Obama: "Neither is he."

"Well, he's right, I'm not. And neither is he. Neither is any of us running for president," Buttigieg told CNN's Jake Tapper on "State of the Union" after being asked about the comment from Biden the day before, adding that "this isn't 2008, it's 2020 and we are in a new moment calling for a different kind of leadership."

Biden, looking to turn around his flagging campaign on the heels of a fourth-place finish in Iowa and a lackluster showing at the last Democratic debate, criticized Buttigieg on the campaign trail Saturday . In response, the former mayor's supporters responded by calling Biden dismissive of those in small cities and towns. Biden then dismissed comparisons between his attacks on Buttigieg and Hillary Clinton's criticism of then-Sen. Barack Obama's limited experience when the two were primary rivals in 2008.

"Oh come on, man," Biden told reporters in Manchester, New Hampshire, on Saturday. "This guy's not a Barack Obama."

And Biden again rejected the notion that Buttigieg is similar to Obama during a Sunday interview with ABC, saying the former President was a "different story."

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