If we take this to literally mean about a thousand years, then that is ~300 years before the time of the Birth of Tiber Septim, and the start of the Daggerfall storyline.
There is a big empty space of a few hundred years here, which gives Zenimax Online a lot of freedom to work. Akavir also plays a large part in this area of history, incluiding the Empire being ruled by an a line of Potentates from Akavir, Morrowind being invaded by Akavir.
Indeed. The 1000 years actually seems quite deliberate and very well thought out. It puts us right in the chaos that followed the end of the Reman/Akaviri dynasty. There's basically a 400 year gap in the political history of Tamriel from the death of the last Potentate to the rise of the Tiber Septim, so the MMO is well placed.
However two other possibilities are there.
1. Misinformation, perhaps they just mean long before the events of Skyrim without a specific length of time.
2. They could mean Millennium as an Era, with Skyim taking place near the start of the 4th Era, perhaps this would mean TESO would be at the start of the 3rd Era
Discuss.