NEW BRUNSWICK, N.J. (CBSNewYork) — In a hypothetical presidential race, a poll shows New Jersey voters would choose Hillary Clinton over Gov. Chris Christie.

Rutgers-Eagleton poll found Clinton would win New Jersey by 10 points, WCBS 880’s Jim Smith reported.

Pollster David Redlawsk said Clinton’s lead could grow as Gov. Christie is likely to drift to the right for the GOP primary.

Redlawsk also said that if Gov. Christie has eyes for the White House, the poll shows he’s have to do it without the Garden State.

“I think it simply says that New Jersey remains a basically democratic state,” Redlawsk said. “But it’s still a really tough haul for any Republican to win New Jersey.”

But winning a home state is not always vital, Redlawsk said.

“Even though Al Gore did not become president, he won more votes than George Bush did and he did not win the state of Tennessee,” he said.

But as Smith reported, Gov. Christie has been gaining ground. In a similar poll back in January, Clinton’s lead was more than 20 points.

In June, the former U.S. Secretary of State went on the record in a prime-time television interview – talking about issues ranging from her health to Benghazi and even Monica Lewinsky, only touching on the topic of running for president, but would not say for certain.

“I don’t want to take anything for granted if I decide to do it,” Clinton said. She called it a “really personal decision.”

In May, Gov. Christie admitted he’s thinking about running for president and said that by the time 2016 arrives the controversy over last year’s George Washington Bridge lane closures “will be a footnote.”

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