The poll, from the Eagleton Center for Public Interest Polling at Rutgers University, gives Booker 55 percent support among registered Democrats and Democratic-leaning independents, to 9 percent and 8 percent support for Reps. Frank Pallone and Rush Holt, respectively.

That echoes another recent poll that gave Booker similar margins over his Democratic challengers. And as with that poll, this one shows Booker with strong name recognition in the state.

Though a third of voters still have no opinion of Booker or don't recognize his name, more than 70 percent say the same of Pallone and Holt, indicating their greatest challenge in the coming weeks will be to introduce themselves to voters.

New Jersey Gov. Chris Christie (R) set the date of the special election primary for Aug. 13, while the general election will take place on Oct. 16.

The survey was conducted among 888 New Jersey adults from June 3-9, and has an overall margin of error of plus or minus 3.3 percentage points, with a margin of error of plus or minus 5.1 percentage points for the Democratic portion.