Manager Alex McLeish confirmed in a statement on Tuesday that Villa's internal investigation into the allegations against Bannan had been put on hold.
The club intend to wait for police to complete their probe into a motorway crash which involved Bannan and Shrewsbury striker James Collins, a former Villa player, in the early hours of Sunday, October 23.
Scotland international Bannan was arrested by police following the crash near junction 26 of the M1, which occurred at around 5.30am, and was subsequently bailed.
The 21-year-old was suspended by Villa two days after his arrest.
McLeish said on Tuesday: "Barry Bannan returned to training today [Tuesday].
"The club has suspended internal enquiries into allegations which arose a couple of weeks ago pending the outcome of police enquiries. We will not be commenting further."