The American reality television star is reportedly dating Gabriel Aubry, the former partner of Hollywood actress Halle Berry, and the model is said to admire Kim for her strong family values.
The Keeping Up with the Kardashians star has previously admitted it is difficult for her to remain single and she has recently been spotted in public with Gabriel, who has two-year-old daughter Nahla with Halle, at a basketball game.
"He likes how family-oriented she is," a source told American website People.
The 35-year-old, who has modelled for Calvin Klein, was introduced to Kim through a friend in New York and the brunette beauty is said to feel mutually passionate about him.
Kim has reportedly already introduced Gabriel to all her family at a Thanksgiving event, but is still trying to take the relationship slowly.
"She likes that he's so cool and relaxed," said the source. "He's great.”