Rodman visited North Korea last week in his second trip to the country.
He told the British newspaper the Guardian on Sunday that he and Kim had a "relaxing time by the sea" with the leader's family and discussed playing a historic friendship basketball game between the U.S. and North Korea.
Rodman said he held Kim's baby named Ju Ae and Kim told him that "I'll see you in December."
After his February trip, Rodman confirmed in a media interview that Kim has a baby daughter.
Rodman said on Twitter that he'll make a big announcement on Monday.
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