"Kanye and Kim have still not settled on a name for their son. The one thing they have agreed on is that they do not want it to be a normal name or spelling," the source told In Touch. "They are going to add to the celebrity baby name database and make it as unique and different as possible."
So what are two possible options that have leaked out?
"Legend and Saint have been thrown around," the source revealed.
"They still haven't decided a concrete name and may wait till the baby is born and live with the child for a little bit and then make the decision. The main goal is for the baby to be healthy and for Kim to be healthy throughout labor and then the name will come."
Kardashian, 35, previously announced she liked the name Easton -- playing off of her daughter North West's name -- but the 38-year-old rapper apparently wasn't a huge fan of the idea.
Kardashian discovered she was pregnant this past spring and confirmed the sex of her second child in June.
North was born on June 15, 2013, about one year before Kardashian and West tied the knot in Florence, Italy.