A team of British experts has discovered the giant volcano on the east coast of the island Sicily, Italy, is edging closer to the Mediterranean Sea by 0.6 inches every year which could result in collapse.
The UK-led team says the situation will need careful monitoring because it may lead to increased hazards at Etna in the future.
"I would say there is currently no cause for alarm, but it is something we need to keep an eye on, especially to see if there is an acceleration in this motion," lead author Dr John Murray told BBC News.
The Open University geologist has spent almost half a century studying Europe's premier volcano.
In that time, he has placed a network of high-precision GPS stations around the mountain to monitor its behaviour.
Essentially, Etna is sliding down a very gentle slope of 1-3 degrees. This is possible because it is sitting on an underlying platform of weak, pliable sediments.
Dr Murray's team has conducted lab experiments to illustrate how this works. The group believes it is the first time that basement sliding of an entire active volcano has been directly observed.
On the human scale, a movement of 14mm/yr - that is 1.4m over a hundred years - will seem very small, and it is. But geological investigations elsewhere in the world have shown that extinct volcanoes that display this kind of trend can suffer catastrophic failures on their leading flank as they drift downslope.
Stresses can build up that lead eventually to devastating landslides.
Dr Murray and colleagues stress such behaviour is very rare and can take many centuries, even thousands of years, to develop to a critical stage.
Certainly, there is absolutely no evidence that this is about to happen at Etna. Local residents should not be alarmed, the Open University scientist said.
"The 14mm/yr is an average; it varies from year to year," he explained.
"The thing to watch I guess is if in 10 years' time the rate of movement has doubled - that would be a warning. If it's halved, I'd say there really is nothing to worry about."
Of more immediate concern is the confounding effect this sliding could have for the day-to-day assessment of the volcano.
Scientists get hints that eruptive activity is about to occur when magma bulges upwards and deforms the shape of the mountain. To gain an unambiguous view of this inflation, researchers will need to subtract the general E-S-E motion.
The study was published in the journal the Bulletin of Volcanology.