Federal Mayo candidate Rebekha Sharkie says she will run on an open ticket at the upcoming by-election and won't instruct voters on their preferences.
But the resigned MP said she's not sure whether her position one below Liberal rival Georgina Downer will have an affect on the outcome.
"I don't know what the stats are on people that donkey vote," she told AAP.
"All I know is that we're very clear: I'm running an open ticket, I'm not preferencing anyone, which dispels another lie that I'm in some kind of alliance with the Greens and Labor."
Ms Sharkie, a member of the Centre Alliance, resigned from parliament after she became embroiled in the dual citizenship saga.
She drew fifth position on the by-election ballot, while Ms Downer's name will be listed fourth.
Greens candidate Major Moogy Sumner drew third for the Greens and Reg Coutts, for Labor, will sit last on the paper.
Pre-polling for the July 28 poll begins on Tuesday.
Ms Sharkie said she did not know where the other parties would be directing their preferences.
"Ultimately I have no involvement over what other parties do, I just know we're running an open ticket which I think is the fair and proper thing to do," she said.