Luc Eymael (Photo by Philip Maeta/Gallo Images)
According to Kickoff and Soccer Laduma, Eymael handed in his resignation on Thursday afternoon.
Eymael, who led Rise and Shine to a 13th finish last season, is linked with a move to Bloemfontein Celtic.
Siwelele have been without a permanent coach since they parted ways with Serame Letsoaka in October last year
The Belgian coach was also also linked with the Orlando Pirates before Bucs appointed Kjell Jonevret as their coach.