On the basis that Turkey has only managed to (provisionally) complete one accession chapter out of thirty five since the nineties, and the "Cyprus Issue" is a major stumbling block over at least six other chapters, I think we could safely say that it'll be a wee while before Turkey is able to join the EU.
I heard an Out supporter (a female MP) rabbiting on about god knows how many millions Turks would be appearing in a high street near you within a year or so, and thought - how can someone sit there and blatantly lie over Turkeys accession process. Then I remembered, she's a politician.
JF