More than 80 percent of self-described Democrats surveyed were supportive of Clinton running, with a margin of error of plus or minus six percent. 13 percent of Democrats didn't want her to run, and five percent said they didn't know enough to decide. 52 percent of Independents also said they wanted her to run.
Opinions were more divided when it came to Vice President Joe Biden, who has said there is a 50-50 chance he will run in 2016. 42 percent of Democrats wanted him to run, and 39 percent did not.
Respondents were also uncertain about Sen. Elizabeth Warren (D-MA), who was singled out by The New Republic in November as Hillary Clinton's biggest potential challenger. Only 22 percent of Democrats said they wanted Warren to run, and 56 percent said they didn't know enough about her to decide.
In contrast to the Democrats' unity, there was no clear favorite candidate among the Republicans surveyed. 41 percent said they'd like Jeb Bush to run, with 27 against a Bush candidacy. 39 percent were for Rand Paul running, and 21 percent were opposed.
One thing was clear: in the wake of the Fort Lee traffic scandal, more Republicans wanted New Jersey Governor Chris Christie not to run (41 percent) than wanted him to run (31 percent).
It's worth noting that the primaries are still two years away, and that polls tend to increase in accuracy as elections draw closer.
The poll had a margin of error of plus or minus three percent for the entire group surveyed, and a margin of error of plus or minus six percent for figures specifically about Democrats, Republicans, and Independents.
1,644 adults were surveyed by phone between Feb. 19-23. Of those surveyed, 519 described themselves as Republicans, 515 as Democrats, and 610 as independents. The poll included both land lines and cell phones.