Ron Smith, who was 79 years old, was diagnosed with COVID-19 roughly a month ago.
He lived in a care facility and suffered from dementia.
Smith was a lifelong Villa fan and was even a steward at Villa Park.
"As well as being a regular at home games, Ron was also there to witness that greatest of days in May 1982 when Villa lifted the European Cup [with victory over Bayern Munich] in Rotterdam," Villa said on their official website.
"The thoughts of everyone at the football club are currently with Dean and his family at this most distressing of times and would kindly ask for the family's privacy to be respected."