Australian Foreign Minister Julie Bishop said she had received a letter from her Indonesian counterpart late on Monday advising her of the imminent execution of two Australian drug traffickers and offering no hope of a reprieve.

The two Australians are among nine mainly foreign prisoners scheduled to be executed in Indonesia this week despite last-minute pleas for clemency and an outstanding appeal in the Constitutional Court.

"They gave no indication that (Indonesian) President (Joko) Widodo would change his mind and grant the clemency that we have sought," Bishop told the Nine Network on Tuesday.