The centre will be based in Sighthill, in the west of the city, Ms Sturgeon confirmed.
The move will bring the total number of walk-in testing centres in Scotland to nine, after a similar facility opened in Dundee today.
Ms Sturgeon said that the location of some of the centres was “deliberately” close to university accommodation, making them “particularly useful for our student populations.”
“But,” she insisted, “it is important to note that they are open to all members of the public.”
Late last month Usher Hall, one of Edinburgh’s most popular theatre venues, opened as the city’s first walk-in testing centres.
Elsewhere in Scotland, there are two walk-in testing centres in Glasgow, one in Aberdeen, one in St Andrews, one in West Dunbartonshire and one in Sterling.
In Scotland, 45,232 people have now tested positive for the virus, up from 44,036 the day before.