Stokes was initially named in England's 16-man squad to tour Australia but was quickly stood down from worldwide duty following his arrest on suspicion of causing actual bodily harm in Bristol in September.
They would probably give Stokes 24 hours to recover from his flight before trying to contact him, Curwin said. He has not played cricket since then, and the European Central Bank has confirmed Stokes will not join the Ashes tour until the police investigation is complete.
Initial reports suggested the all-rounder may be heading to Adelaide to join the England squad ahead of the second test against Australia starting Saturday, but that was quickly quashed by the England Cricket Board (ECB).
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Stokes sent social media into overdrive on Monday night when he was pictured at Heathrow airport with his England cricket kit but the European Central Bank said he was going to New Zealand to visit family.
Canterbury coach Gary Stead said Stokes' possible involvement or not in the Ashes "hasn't been discussed whatsoever".
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Though he was initially named in the Ashes squad, he was subsequently told he would not be selected by England "until further notice".
So far, he has missed three tour matches and a first-Test defeat in Brisbane by 10 wickets - during which the consequences of his absence for Joe Root's tourists were painfully plain to see.
He said: "We've had no information from them. We're relatively clear in our minds what the procedure is from here and the start is the police coming out with their charging decision and, until that happens, we can't move forward".
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Australia coach Darren Lehmann suggested three times at an Adelaide airport press conference that those asking questions about Stokes should direct their queries to the European Central Bank.