The showbiz matriarch doesn't mind whether her daughter has a boy or a girl as long as the little one is healthy, but she would be honoured if the tot shared her moniker.
Kris said: "It should be Kris, of course. Half of me wants it to be two boys or two girls, [because] that's fun for a little playmate. And then, of course you want what they don't already have, but I am happy either way. Just [a] healthy [baby]!"
If Kourtney - who already has a 23-month-old son, Mason, with her boyfriend Scott Disick - decides to name her baby after her mother it will continue a Kardashian tradition of giving their children monikers that begin with a 'K'.
Kris is expecting Mason to be "surprised" when his new brother or sister enters the world because he is so used to being the centre of attention in his family.
She added to Us Weekly magazine: "I think he is going to be in for the surprise of his life, because he is going to have to share the attention."
The 56-year-old businesswoman revealed Kourtney has been "very, very nauseous" during her second pregnancy, but she "doesn't' think it's on the cards" for the brunette beauty and Scott to get married anytime soon, despite them having another child.
Kourtney - who is 10 weeks pregnant - recently admitted the couple have no plans to tie the knot.
She said: "I definitely don't want to get married just for the sake of getting married. This is my life. I don't need a piece of paper to make it a family unit. I don't want to get married right now and I don't have to listen to my mom or anyone else!"