Sen. Dick Durbin

Sen. Dick Durbin

(CNN) — Senate Majority Whip Dick Durbin said Tuesday he suggested to fellow Illinois Sen. Roland Burris that he resign his seat.

“I believe with what he faces, if I was in that position, I would resign,” Durbin said.

Durbin said Burris indicated he will not step down.

Durbin also said he would not support Burris if he runs for the seat in 2010.

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