More New Jersey residents in a poll released early Thursday say Sen. Cory Booker Cory Anthony BookerBipartisan praise pours in after Ginsburg's death DHS opens probe into allegations at Georgia ICE facility Democratic lawmakers call for an investigation into allegations of medical neglect at Georgia ICE facility MORE (D-N.J.) would not make a good president than those who say he would.

Forty two percent of state residents in the Monmouth University poll say that Booker would not make a good president, while 37 percent disagree.

The results stand in contrast to his approval ratings in the New Jersey: 48 percent of respondents told Monmouth they approved of the job Booker was doing as senator, while 36 percent disapprove.

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Booker faces a challenge among independent voters in the state, according to the poll, which finds him underwater with that demographic. Just 37 percent of independents like the job Booker is doing as senator, while 42 percent said they do not approve.

Patrick Murray, director of Monmouth's poll, said that the state could still be fatigued from a presidential run from the state's former governor, Chris Christie (R), in 2016.

“Booker has become better known to his constituents over the past two years, but his presidential bid and elevated national profile may have worn off some of the sheen. Part of the problem could be that New Jerseyans haven’t fully recovered from Christie’s run four years ago,” Murray said in a statement.

New Jersey residents are also split over how Booker should handle his presidential bid, according to the poll. Forty three percent want him to resign from the Senate while he pursues the White House, while 50 percent say he should remain in office.

Approximately one-third -- 34 percent -- say he will be able to serve effectively while running for president.

The Monmouth poll was conducted between Feb. 8-10 and contacted 604 New Jersey adult residents. Its margin of error is 4 percentage points.