The European Union agreed in March to offer Turkey visa-free access by July 1, increased aid and speeded up accession talks in return for Ankara controlling the flood of migrants crossing into Greece.
But Turkey has yet to fulfil all of the conditions laid down by the European Commission for the visa agreement, including changes to Ankara's anti-terrorism laws to meet EU concerns over human rights.
Turkey's European Affairs Minister Omer Celik admitted the July 1 deadline would be missed in an interview late yesterday with Dutch broadcaster NOS -- the first official such acknowledgement by Ankara.
Austrian Interior Minister Wolfgang Sobotka also said yesterday that the July 1 deadline was not feasible, a view widely shared in Brussels.
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"But we think it must happen as soon as possible," the Turkish minister said.
Turkey's President Recep Tayyip Erdogan said last month that the visa exemption must be introduced by October at the latest. Ankara has threatened to scrap the migrant deal with the EU altogether if visa-free travel is not forthcoming.
Celik said he believed Turkey had met all the necessary criteria and that there was "no question of making any change that would reduce our capacity to fight terrorism".