Story highlights A new Marquette University Law School Poll found that Wisconsin Gov. Scott Walker would lose his home state in a matchup with Hillary Clinton

The poll also found him losing support in the Wisconsin Republican primary

Sunapee, New Hampshire (CNN) While Wisconsin Gov. Scott Walker criss-crossed New Hampshire on Thursday, bad news was released back home in the form of a poll showing outsider candidates like Ben Carson creeping up on him in the Wisconsin Republican primary and Hillary Clinton beating him in a hypothetical matchup.

A Marquette University Law Poll released Thursday found that although Walker would still win his home state primary if it was held today, his support had dropped from 40% to 25%. Voters, meanwhile, said they would go for either Carson (13%), Donald Trump (9%) or Ted Cruz (8%) -- reflecting a broad shakeup in the Republican field nationwide since the first Republican debate.

But in a head-to-head matchup, Democratic front-runner Clinton would beat him 52%-42%.

Walker said he was not fazed by the poll and compared it to low poll numbers for him just before he won a resounding recall battle in 2012.

"I thinks it's a lot of the attacks from the outside," he said after a campaign stop. "As people come back and look at what we have to offer, we're going to have the support of people in our state just like we have the support of people in places like New Hampshire, Iowa and South Carolina."

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