United edged past Blackburn Rovers in the fifth round on Tuesday, winning 4-3 on penalties after the game finished 1-1 after extra time at Ewood Park.
And Eddie Howe's side will find out who they will face in the last eight on Wednesday, with the draw set to take place at 7pm GMT just prior to the evening's four remaining fifth round ties.
The Magpies will be ball number one in the draw, which will be made by former England goalkeeper David Seaman before Chelsea's clash with Leeds United. It will be shown live on ITV4.
Quarter-final fixtures are set to be played across the weekend of Saturday, 16th March, meaning Newcastle's Premier League trip to Crystal Palace - which was initially scheduled for that weekend - will be rearranged.