According to the ABC News/Washington Post survey, 57 percent of people would support Clinton as a presidential candidate, versus 37 percent opposed.
The research shows the current Secretary of State has 66 percent among women and the backing of 82 percent of Democrats and 59 percent of independents. Clinton, a Democratic candidate in 2009, also snagged support from 23 percent of Republican respondents.
In her current role, a full 68 percent of those surveyed approved of her position, while 68 percent approved overall.
The research shows Clinton does less well among nonwhites than did Obama, who won re-election with 80 percent of their support last month.
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This ABC News/Washington Post poll was conducted by landline and cellphone Nov. 28-Dec. 2, 2012, among a random national sample of 1,020 adults.
Clinton, who is currently visiting Ireland, is expected to step down from her State Department at the end of the year.
The former first lady arrived in Ireland on Wednesday as part of a four-day visit to Europe.
On Thursday she will deliver a speech on human rights at the Helix in Dublin City University (DCU). She will travel to Belfast on Friday to discuss the peace process and investment opportunities.