According to the Quinnipiac University survey, out Friday, Christie takes 43 percent support among registered voters to Clinton's 42 percent support, within the margin of error and too close to call.
That's just a slight shift from a June poll, when Christie led Clinton by 3 percentage points, with 44 percent support.
Sen. Ted Cruz (R-Texas), who has made news in recent weeks for scheduling a spate of appearances in early primary states, lags Clinton by only 3 points, just outside the survey's plus or minus 2.9 percentage-point margin of error. Clinton takes 45 percent support to Cruz's 42 percent.
Though Clinton has led all Democratic and Republican challengers in nearly every poll of the 2016 landscape, she's consistently had trouble in polling of the all-important swing state, indicating she still has some work to do to shore up support among independents.
Vice President Biden, also considered a potential 2016 contender, lags both Christie and Cruz significantly. He takes 33 percent support to Christie's 50 percent, and 39 percent support to Cruz's 45 percent.
And President Obama continues to fare poorly in the Centennial State, with 56 percent of respondents saying they disapprove of the job he's doing and 41 percent approving.
The survey was conducted among 1,184 registered voters from Aug. 15-21 and has a margin of error of plus or minus 2.9 percentage points.