A statement from the Sheffield Teaching Hospitals NHS trust said: "Staff are pleased with how he is doing and the progress he is making so far.
"The family would like to express their gratitude for the continued support and goodwill of well-wishers which has been a great help to them and to Keith over the last fortnight."
Imps supporters have raised over £2,600 for the hospital's Neurosurgial Trust Fund after a collection during Saturday's match against Bristol Rovers.