The former couple are reportedly concerned the 25-year-old rapper, who has two-year-old son King Cairo with ex-fiancée Blac Chyna,
'will have a negative impact" on the 17-year-old reality TV star.
A source close to the family said: "Her parents know she is going to date who she wants, but they are worried he will have a negative impact on her decision-making.
"A lot of Tyga's friends are enablers. That makes her mom the most nervous. She doesn't want Kylie getting off track."
Kylie and Tyga have been linked since September, but have attempted to keep their romance "under wraps as much as possible" due to their age gap.
While the teenager's family don't think she is "out of control," the brunette beauty "is obsessed with the attention and knows that acting a little scandalous here and there will keep her in the spotlight."
Kylie, who recently admitted she has temporary lip fillers, also can't help comparing herself to her older sister Kendall Jenner, 19, and half-sister Khloé Kardashian, 30.
The insider told PEOPLE.com: "She's become a perfectionist because she feels like she needs to be just as sexy as her other siblings, specifically Kendall and Khloé.
"She doesn't feel inadequate next to them, but she's willing to do whatever she can to herself to make her feel like she's looked at by the public in the same way."