TMZ was told baby #3 is due at the end of January.
TMZ broke the story, Kim and Kanye hired a surrogate because she has a medical condition -- placenta accreta -- that became extremely serious during her second pregnancy and TMZ was told it could become life-threatening if she tried to carry another baby to term.
They paid $45k for the surrogate, who is prohibited from smoking, drinking or doing drugs during the pregnancy. Also, no hot tubs, hair dye and raw fish.
TMZ was told so far, so good.