In 1991 and 1992, the dust detector onboard the Ulysses spacecraft det
ected several dust streams apparently originating from the jovian syst
em. The timing and measured speeds of the final two dust streams are c
ompatible with dust from comet Shoemaker-Levy 9's (SL9) disruption in
1992. Our further investigations of stream characteristics and dust ac
celeration mechanisms, however, shed some doubt that two of the eleven
dust streams are of SL9 origin. In July 1994 when SL9 impacts Jupiter
, the Galileo spacecraft will be about 3500 jovian radii away from the
planet. Submicronsized dust released into, and accelerated by, the jo
vian magnetosphere during this event may reach Galileo and impact its
dust detector between September and November 1994. We also discuss the
possibility of directly sampling dust from SL9 during Galileo's orbit
al tour.