I would think such a visit would only happen after a major denuclearization deal is struck. Though I am extremely skeptical of Kim ever fully denuclearizing, if he does commit to a real denuclearization deal he should be hosted at the White House:

U.S. President Donald Trump invited North Korea’s leader Kim Jong-un to Washington, D.C., when the two leaders met at the Panmunjom truce village on Sunday.
“I did,” Trump said when asked if he extended the invitation for Kim to come to the White House. “Actually, at some point it will all happen. When it all works out, at some point it will all happen.”
Earlier he said, “I would invite him right now to the White House,” as the two leaders headed to Freedom House, on the southern side of the village, before holding private talks.
It was not clear if Kim accepted the offer.
Korea Times
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