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Washington insiders say they believe he could depart not long after crucial elections in November.
Mr Emanuel, 50, enjoys a good working relationship with Mr Obama but they are understood to have reached an understanding that differences over style mean he will serve only half the full four-year term.
"I would bet he will go after the midterms," said a leading Democratic consultant in Washington. "Nobody thinks it's working but they can't get rid of him – that would look awful. He needs the right sort of job to go to but the consensus is he'll go."
An official from the Bill Clinton era said that "no one will be surprised" if Mr Emanuel left after the midterm elections in November, when the Democratic party will battle to save its majorities in the house of representatives and the senate.
It is well known in Washington that arguments have developed between pragmatic Mr Emanuel, a veteran in Congress where he was known for driving through compromises, and the idealistic inner circle who followed Mr Obama to the White House.
His abrasive style has rubbed some people the wrong way, while there has been frustration among Mr Obama's closest advisers that he failed to deliver a smooth ride for the president's legislative programme that his background promised.
"It might not be his fault, but the perception is there," said the consultant, who asked not to be named. "Every vote has been tough, from health care to energy to financial reform.
"Democrats have not stood behind the president in the way Republicans did for George W Bush, and that was meant to be Rahm's job."
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