Story highlights Hillary Clinton's campaign chairman John Podesta said the candidate would consider a female running mate

The comments came in an interview published Wednesday

(CNN) Hillary Clinton's campaign chairman John Podesta said the Democratic presidential front-runner would be open to an all-female ticket.

"We'll start with a broad list and then begin to narrow it. But there is no question that there will be women on that list," Podesta told the Boston Globe describing the process of picking Clinton's runningmate in an interview published Wednesday.

An all-female presidential ticket would be a historic first in a presidential election full of surprises as Clinton competes to be the first female president of the United States.

Although the number of female politicians at that national level has increased in recent years, women are far from achieving parity in either party.

One prominent name that might make the list: Sen. Elizabeth Warren, the progressive figure that has so far avoided campaigning for either Clinton or Sen. Bernie Sanders. Warren remains the only female Democratic senator not to have formally endorsed Clinton's presidential bid.