The operators are due to have their licence renewal applications considered by Edinburgh City Council against the backdrop of an apparent push against claims of a blind-eye approach towards alleged prostitution.
Eight premises will have their cases heard in private while five will be held in public.
The eight saunas to be considered behind closed doors are understood to have had their licences suspended earlier after the new single force, Police Scotland, launched the first wave of Operation Windermere in June.
Seven people were charged with 15 offences, including five with alleged brothel-keeping and living off immoral earnings.
Women of various nationalities were interviewed.
Council papers have confirmed police objected to the remaining five saunas having their licences renewed.
A spokesman for the single force said: "In cases where there was evidence of criminality or premises operating out-with the conditions of their licence, objections were made to those licences being renewed.
"Police Scotland will continue to work with partners to inspect and report on licensed premises operating within Edinburgh in order to keep people safe."
The council said police concerns would be carefully considered.