The England and Wales Cricket Board (ECB) have discussed a reported bar-room incident involving Johnny Bairstow with the Ashes tour wicket-keeper, the board said in a statement.
Australia's Fox Sports reported that Bairstow was involved in a clash, in a hotel bar, with Australian player Cameron Bancroft in Perth during England's warm-up for the series.
According to Telegraph, Bairstow is alleged to have head-butted the Australian opening batsman.
An ECB statement read: "At close of play in Brisbane today, we were made aware of allegations of an incident in Perth four weeks ago. There has been no report of any incident from the venue, security or police and there was no injury reported.
"Following an initial conversation with Jonny Bairstow tonight we understand the context and will follow up with England players and management after the Brisbane Test.”
Bairstow has not commented on the alleged incident.
The behaviour of England cricketers has come under scrutiny after all-rounder Ben Stokes was left out of the tour after he and teammate Alex Hales were arrested following an altercation outside a Bristol nightclub in September and released under investigation.
Australia will resume on the fifth and final day of the first Test in Brisbane needed 56 runs to win with all their second-innings wickets intact.