The deputy whip, Christabel Chamarette, had lost her seat at the election, and left the Senate just over a month after the announcement.
The party lost its other seat (and its whip) at the 1998 election, with her leaving office in June 1999.
The Australian Greens appointed their first whip in the Senate when the party increased from two to four members in 2005.
Two of the three had left within a year, but the remaining senator retained the position of whip until his defeat in 2016.
The Australian Democrats first elected a whip in 1981, reflecting an increase from two to five of the party's Senate membership.