Born in August 1916, Dr Simpson was senior rheumatologist at Leicester Royal Infirmary and gave decades of service to Leicester Tigers.
After his retirement, he was still a big Tigers supporter, attending his last home fixture just a fortnight ago.
Peter Wheeler, Tigers executive director, said: “Many past players will remember Noel warmly for devoting his time to help them get back on to the pitch as soon as possible after injury.
“He was also a big supporter of the club. We saw him at every home game and his positive and cheerful outlook was always a feature of his appearances here.
“We pass on our sincere condolences to Noel’s family and friends.”
Family funeral service at Gilroes Crematorium, Leicester on Friday, April 12, followed by a Service of Remembrance at St Mary Magdalene Church, Knighton, Leicester at 1.45pm. No flowers but donations, if wished, to The Salvation Army, Medecin Sans Frontiere or LOROS c/o G Gamble and Sons (Quorn) Ltd, Independent Funeral Director, 101A Meeting Street, Quorn, Leicestershire LE12 8AQ.