The insider shared: "The family is sticking by Khloe's side and trying to uplift her."
Tristan has already apologised to Khloe after a paternity test revealed he fathered a child with Maralee.
The basketball player admitted Khloe doesn't deserve the "heartache and humiliation" he has caused her.
He wrote on his Instagram Stories: "Today, paternity test results reveal that I fathered a child with Maralee Nichols. I take full responsibility for my actions. Now that paternity has been established I look forward to amicably raising our son.
"I sincerely apologise to everyone I've hurt or disappointed throughout this ordeal both publicly and privately.
"Khloe, you don't deserve this. You don't deserve the heartache and humiliation I have caused you. You don't deserve the way I have treated you over the years."
Tristan also insisted he has the "utmost respect and love" for Khloe.
The sports star added: "My actions certainly have not lined up with the way I view you. I have the utmost respect and love for you. Regardless of what you may think. Again, I am so incredibly sorry."