Pauline Hanson wants a plebiscite on banning the burqa, saying it has already been banned or restricted in many countries, including Muslim countries.
The One Nation leader, who caused controversy in August by wearing a burqa into the Senate chamber, has described the burqa as "offensive".
Federal Attorney-General George Brandis labelled her action a stunt.
But a burqa ban has gained support from conservative crossbencher Cory Bernardi who described the garment as a "flag of fundamentalism" and suggested terror threats could be identified by targeting those wearing the garment.
Another crossbencher, Jacqui Lambie, introduced a private bill to parliament this week seeking a ban on full-face coverings in Commonwealth jurisdictions, such as airports as well as the ACT and Northern Territory.
Should the burqa be banned? Or is the wearing of it a democratic right?