According to the poll, Romney would have the strongest chance against the former secretary of state, edging out Clinton 45 percent to 44 percent.
If Christie is the Republican nominee, Clinton holds the slightest of advantages, 43-42 percent, Quinnipiac said.
"Remember Mitt? Republicans still have Gov. Mitt Romney top of mind and top of the heap in the potential race for the top job," Tim Malloy, assistant director of the Quinnipiac University Poll said in a statement.
"But Jeb Bush looms large in second place. With New Christie also in the mix, it looks like Republican voters are favoring more moderate choices for 2016."
Clinton is the runaway favorite to take the Democratic nomination at this point at 57 percent. U.S. Sen. Elizabeth Warren of Massachusetts and Vice President Joe Biden are a distant second and third at 13 and 9 percent, respectively.
The Republican race appears to be more muddled, with Romney leading the pack at 19 percent, Bush with 14 percent and Christie at 11 percent, the polls said.
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