What’s more historic than the first major female presidential nominee? The first two-woman presidential ticket, of course.

If it happens. But according to Hillary Clinton campaign chair John Podesta, it’s a distinct possibility. “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,” he told The Boston Globe. To be fair, this isn’t the first time Clinton or her aides have mentioned the idea. In January, she told Rachel Maddow she would “absolutely not” rule out a female running mate. Some of the names that are circulating: Senators Elizabeth Warren (of course), Claire McCaskill, Jean Shaheen, and Amy Klobuchar; and Governors Maggie Hassan of New Hampshire (an unlikely choice, as she’s running for U.S. Senate) and Gina Raimondo of Rhode Island.

It’s tough to say just how serious a possibility the two-woman ticket is. After all, Clinton is simply not ruling things out, and there’s a long time to go until she has to make the final choice. But what would she stand to gain by picking a woman as her running mate?

One reason could be that historic angle. In 2008, Clinton didn’t make as much of her role as a woman as she might have. In part, that’s because the “historic candidacy” argument didn’t really cut in her favor in a race against Barack Obama. But Clinton set the tone for her 2016 run when she bowed out of the 2008 race, when she said, “Although we weren't able to shatter that highest, hardest glass ceiling this time, thanks to you, it's got about 18 million cracks in it.” This time around, she’s been more willing to put gender front and center—speaking repeatedly about her roles as a mother and grandmother, for example.