The 25-year-old has not featured for the Hoops since before the international break after going off injured during the 3-1 win over Hibernian.
Hatate has eight goals and nine assists in 38 games for the Scottish champions so far this season.
And Postecoglou has given some insight into when the playmaker might be back in action.
Speaking to Sky Sports, he said: “No real change from last week. All the boys who missed out last week will miss again.
“All of them are sort of working their way back to being involved in the next week or so.
“At the moment, it is pretty much the status quo.”
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Meanwhile, Wellington Phoenix boss Ufuk Talay has praised Postecoglou, calling him “inspirational”.
The 47-year-old, whose side currently sit fifth in the A-League, is a big fan of the former Yokohama F Marinos head coach.
Talay worked as a youth coach for the Australia national team while Postecoglou was in charge of the Socceroos and he joked that having that experience under his belt will help him get a job abroad.
He told Australian outlet Keep Up: “There’s ways for them to be able to help … Ange is on my CV, just let you know!
“I can’t predict where I’ll end up, the aim is to try to get an overseas job, either in Asia or in Europe.
“Will that come to fruition? I don’t know, If I don’t get a job overseas, I need a job somewhere.
‘It’s fantastic to see that they’re doing well because if our Australian coaches are doing well that possibly opens doors for us.
“I know Musky (Kevin Muscat) quite well and I worked with Ange when we worked on the national team.
“A very inspirational figure and a very good coach at the same time.”
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