He means there are no other people living in Asia that are Turanian apart from the Turks. That's easy to understand for someone with a bit of knowledge. Of course an Ord. Prof doesn't think trivial and doesn't feel that it's necessary to explain this.
The other Turanian people are some of the Bulgars and Slavs (most of them are no longer aware, or the Muslim ones were deported to Turkey), some of the Italians (through Etruscans), Hungarians, some of the Scandinavians, Mongolians, half of Iranians (Turks), some of Middle Easterners (Turks), many among Russians (Turks), some of the Ukranians, and possibly (no proof) Tibetans and Japanese.
So it's perfectly possible to find connections between Sumerians and these people. But the connection is never as strong as the Turkic one.