Democratic hopeful Pete Buttigieg said on Father's Day Sunday that he and his husband Chasten might start a family in the White House if he is elected president.

"I don't see why not," said Buttigieg, the first openly gay candidate for the highest US office, when asked about the possibility on CNN's "State of the Union."

"I think it wouldn't be the first time that children have arrived to a first couple. But, obviously, that's a conversation I had better have with Chasten before I go into it too much on television."

Buttigieg and his husband Chasten, a junior high school teacher, were celebrating the first anniversary of their marriage on Sunday.

The mayor of South Bend, Indiana since 2012, Buttigieg came out as gay four years ago and announced his engagement to Chasten Glezman in December 2017.

They married June 16, 2018 in a private ceremony in South Bend.

He has said he would like a family, but his run for the presidency had put that on hold.

A Harvard graduate and Rhodes Scholar, the 37-year-old Buttigieg was virtually unknown when he entered the race for the Democratic nomination.

But he has since emerged as one of the most closely watched candidates in an unusually large field, placing fifth in a new CBS poll of battleground states.

A Fox News poll showed him with a one point lead over US President Donald Trump if the elections were held today.

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