The 'Broken Heels' singer is reportedly worried that she will be diagnosed with Type 2 diabetes, which has already affected three generations.
"My nan and my great-nan both had exactly the same thing," she told The Sun. "I have to be careful - I have to watch what I eat."
Burke's mother, ex Soul II Soul singer Melissa Bell, suffers from kidney failure caused by diabetes and needs dialysis sessions while she waits for a transplant.
Burke recently denied reports that her mother is jealous of her success, insisting that she is "unbelievable proud" instead.