Jenner has also used examples of celebrity couple Angelina Jolie and Brad Pitt, who have been in a committed relationship without saying "I do".
Kim, who has two failed marriages behind her, welcomed her first daughter North West, with West June 15. Jenner feels a third divorce can ruin Kim's reputation, reports contactmusic.com.
In 2000, the 32-year-old married music producer Damon Thomas, but their relationship ended after four years in 2004. She was then married to basketball player Kris Humphries, but after 72 days of marriage, Kim filed for divorce. Their divorce was finalised last month.
"Kris is encouraging the couple to not get married," a source told gossip website naughtybutnicerob.com.
"After Kim's last, 72-day marriage, Kris feels like the Kardashian brand does not need another marriage disaster on its hands. She is telling them to take their time, to really think about it. A third divorce for Kim, is not something Kris wants for her daughter or her family business," the source added.
According to a source, everyone in the family wants to see Kim happy, but at the same time they are assuring her that she doesn't need to be married to find happiness.
"Kim adores Angelina Jolie and Brad Pitt, which is why her mom is using them as an example of how you can be a solid, committed couple, without having to say 'I do.'
Kris originally used Goldie Hawn and Kurt Russell as an example of a great couple that never got married, but Kim had no idea who these two were!," said the source.