The 2020 presidential hopeful, who finished third in the Iowa caucuses last week, made the quip during a rally at a high school in the city of Lebanon.
She was questioned by a supporter if she had asked herself ”who is going to be my Mike Pence, who is going to look at me with adoring eyes”.
The audience erupted with laughter and cheers as the Massachusetts senator replied: “I already have a dog.”
Ms Warren then followed it up with “you gotta watch these feisty women!”
She went on to explain that her vice president would be “someone who is going to be in the fight with me ... will get out and make this happen”.
Democratic candidates compete on the campaign trail: In pictures
Show all 18
Referring to the Republican leader of the US Senate, Ms Warren added: “It’s so easy to get discouraged and to say Mitch McConnell just ruins everything — there’s a lot of truth in that, too — but it isn’t everything.
Ms Warren is hoping to gain ground on fellow frontrunners Bernie Sanders and Pete Buttigieg, who are polling in New Hampshire at 26.6 per cent and 21.3 per cent respectively, according to average polling data from Real Clear Politics. She is predicted to again come third, just ahead of former vice-president Joe Biden.
On Sunday Ms Warren travelled to the state’s remote northern region where Sanders’ support is thought to be the strongest. A further three stops are planned for Monday, the final full day of campaigning.
“There a lot of people who talk about what races aren’t winnable or what kind of people can’t win,” she told supporters. “The way I see it, they’re going to keep saying that right up until we get in the fight, we persist and we win.”
Additional reporting by Associated Press
Join our commenting forum
Join thought-provoking conversations, follow other Independent readers and see their replies
Join our commenting forum
Join thought-provoking conversations, follow other Independent readers and see their replies