Postecoglou was speaking in Melbourne ahead of their post-season friendly against Newcastle.
Asked about the Greece job, he said: "It's definitely in my future that you'll see me in Greece, but it's more likely to be on an island somewhere on a sunbed.
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"I've got a big challenge here at Spurs and I'm looking forward to bringing some success here.
"I was born in Greece, I very much feel Greek and I'll definitely be there this summer like I am every summer but as far as coaching goes I'm happy where I am."