The 27-year-old has already been in the headlines for flouting social distancing guidelines amid the coronavirus outbreak, with the Ivorian being forced to apologise after exercising with teammate Moussa Sissoko.
The right-back has since come under fire once again after posting an image of him and his barber on Instagram, but Aurier has defended his decision to get a haircut.
Nevertheless, according to The Sun, Spurs are not taking the issue lightly and are prepared to hand the defender a hefty fine.
The report claims that Jose Mourinho's side are concerned about the defender's reputation as well as the club's after a number of incidents relating to lockdown breaches.
Aurier has turned out 33 times across all competitions for Tottenham this season, registering two goals and seven assists.