Rob Kardashian Diabetes NOT a Wake-up Call Family Fears the Worst

1/16/2016 1:00 AM PST BY TMZ STAFF

0116-rob-kardashian-tmz-01Rob Kardashian's diabetes diagnosis did not scare him healthy ... not by a long shot ... and his family is worried sick if he doesn't radically change his ways he could die.   

Our Kardashian sources tell us they were confident after Rob was admitted to the hospital late last month and diagnosed with type 2 diabetes he'd begin eating healthy, exercising and doing whatever it took to beat the disease.

It's so bad, Rob has to give himself insulin injections once a day ... but he's still unfazed by the scare.

Our sources say he's still eating crap and not seriously doing anything to lose weight. 

We're told Kris and Rob's sisters have stepped up and hired a full-time chef who specializes in diabetes diets to prepare all of his meals. They've also hired a nutritionist and trainer. 

Problem is -- Rob is halfhearted about the whole thing ... not committing to the diet or exercise, and the family is worried his condition will worsen and his life will be in peril.