Those number don't include Kansas City absentee and same-day votes that were still uncounted as of Wednesday morning, according to the Kansas City Board of Election Commissioners. However, those figures, which are expected later today, aren't more than "a few hundred" votes, said a spokesman, and so wouldn't affect the outcome.

It’s possible that recounts could take place in both races, whoever is declared the unofficial winner. Under Missouri law, a candidate who loses by less than one-half of 1 percent of all votes cast can seek a recount.

The close margins amount to little more than bragging rights, with the winners being able to say they won the state.

John Hancock, the chairman of the Missouri Republican Party, said on Tuesday night that any recount would be a legal question.

“It looks to me like the separation is pretty clear,” Hancock said. “The question is if the congressional districts are tight enough. And we aren’t going to know that for a while.”