The new advice line will be run by the health information service NHS Inform, which is part of the NHS 24 medical advice service.
Its aim is to increase transparency and improve understanding of waiting times targets amongst Scots.
Mr Neil said: "Waiting times are amongst their lowest-ever levels in Scotland and they continue to improve. Patients have an entitlement to be treated as quickly as possible, but also at a time that fits in with their lives.
"We want to make sure that patients know what they are entitled to, what they can expect and what options are available to them.
"This advice line will improve patients' experience with the health service and make sure that if they need help and support they will get it."