The video, which has since been deleted, captures a driver with his feet placed up on the dashboard of a car while the vehicle drifts across the wrong lane of the road.
The concerning post surfaced on Monday, with Thomas already away from North Melbourne after being stood down by the club following further allegations of inappropriate behaviour from the 23-year-old towards women.
"North Melbourne is aware of a social media post by Tarryn Thomas from Monday night," a club statement read.
"Thomas has been away from the AFL program for the past three weeks and will continue to spend time away from the club.
North Melbourne midfielder Tarryn Thomas is on thin ice with his club after posting a video to social media appearing to show reckless behaviour on the road. @IzaStaskowski #9News pic.twitter.com/1hLpmbtQLt
— 9News Melbourne (@9NewsMelb) April 11, 2023
"The club continues to assess Thomas' progress towards meeting club and community expectations. He has not made adequate progress to be returned into the club environment at this stage."
Thomas' current absence from Arden Street is his second stint of leave since February after allegations of threatening behaviour by multiple women were raised.
Thomas has been placed on a behavioural program in recent weeks as the Kangaroos looks to help better educate the young footballer.
Thomas has played 57 games for North Melbourne since joining the club through the 2018 National Draft.