The then health secretary Nicola Sturgeon announced in 2008 that single rooms would become the norm for new and refurbished hospitals.
Mr Neil said: "There is strong evidence of the effectiveness of single rooms in minimising risks of healthcare-associated infections and in protecting dignity for patients, and that is why in Scotland we are moving to greatly increase the number of single rooms.
"These figures show that we already have 26 hospitals with 100% single rooms which is a great step forward for both infection control and patient dignity, and I would like to further reinforce my commitment to 100% single rooms for all new hospitals.
"In 2008 the previous health secretary announced that she accepted the recommendation of the Scottish Government's steering group on single-room provision which means all new hospitals in Scotland are now 100% single rooms and in refurbished hospitals, at least 50% of the beds are in single rooms.
"Single rooms provide a better and safer environment for patients and will enhance their experience during their stay in hospital. More importantly, single rooms make a significant contribution towards reducing the patient's risk of contracting and passing on an avoidable infection."