The incident came one night after England director of cricket Andrew Strauss scrapped the polarising curfew placed on the Test side earlier in the series.
The curfew, which barred players from staying out later than midnight, was brought in after news broke of a bizarre incident involving Jonny Bairstow headbutting Aussie batsman Cameron Bancroft.
"When you are in the spotlight like this you can understand why that is said about a team like this," England coach Trevor Bayliss said after England were downed in a 10-wicket loss at the Gabba.
"Most people like going out and having a couple of quiet ones but we have got to be careful that we don't do anything stupid. They would be extra dumb and stupid if they didn't (learn after Bairstow's misdeed), that's for sure."
Duckett is likely to discover the outcome of his hearing within 24 hours.
Andrew Strauss denied claims of a drinking culture in the struggling team but said the touring side had to "sharpen up" their act.
"The players are adults — intelligent adults — and sometimes they are not using that intelligence in the right way," he said.
"The last thing any of us want is to be in the news for the wrong reasons and I will be reminding the players of their obligations."
The controversy comes after all-rounder Ben Stokes was left out of the start of the Ashes summer following a street brawl outside a bar in England earlier in the year.
