But would Clinton pass that particular smell test?
In a nationally televised interview broadcast today, Obama seemed to suggest that any Democrat other than him would provide the turn of the page that he says voters are interested in.
He acknowledged the "dings" to his own political standing during nearly six years of sometimes bruising battles with Congress and said Americans will want something new.
"They want to drive something off the lot that doesn't have as much mileage as me," Obama said in the interview with ABC's "This Week," which was taped Friday in Las Vegas following a public appearance there by the president.
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But if she does run which she is considering, with a decision expected to be announced early next year would she have that "new car" scent for voters?
Hillary Clinton has been a powerful force in Democratic politics for many years, beginning as Arkansas' first lady before she became America's first lady after her husband, Bill Clinton, was elected president in 1992. When his two terms were up, she ran for and won a US Senate seat from New York.
The Democratic political establishment is now awaiting word on whether she will take on the challenge of another national political campaign.
New car smell or not, Democratic voters hold her in such high regard that she outdistances anyone else in polling of possible Democratic candidates for 2016. One of them is Vice President Joe Biden, who has not ruled out a third run for the White House.
Eight in 10 Democrats held positive views of Clinton in an Associated Press-GfK poll conducted in late July. Biden had a 71 per cent favorable rating in the survey.