A Democratic candidate in the sweepstakes for White House Chief of Staff Rahm Emanuel

But they quickly backed off that proposal when it appeared Rep. Mark KirkMark KirkHigh stakes as Trump heads to Hill Five things to watch for at Trump-Senate GOP meeting Giffords, Scalise highlight party differences on guns MORE (R-Ill.) might run for the seat.

The issue is hot button in Illinois, where appointed Sen. Roland Burris (D) is under increasing heat for his previously undisclosed contacts with Blagojevich aides.

Burris initially denied having contacts with those close to Blagojevich during the appointment process, but he has now said he had contact with Blagojevich aides and the former governor