Mackenzie Furniss needs £300,000 for pioneering surgery in Germany to remove an aggressive and advanced tumour of the nervous system.
After going public with her plight, donations have flooded in from around the world to the Clackmannshire schoolgirl, including a remarkable act of generosity by the singer of hits such as So What and Stupid Girl.
The appeal total now stands at almost £86,000. But with just eight days to go to meet the hospital's deadline for payment, the family have renewed their appeal.
Mother Kimberley, 29, is overwhelmed by the response to her daughter's appeal and hopes that a big donation like the one from Pink will happen again.
She said: "It's humbling that Pink donated and we're so grateful to her for the money, especially such a large amount."