Bhasera escaped with minor injuries, despite his car being written off, following an accident in his home country.
The 31-year-old defender was travelling back to Zimbabwe after the Warriors' failed participation at the 2017 African Nations Cup in Gabon, which reaches its climax on Sunday when Cameroon face Egypt in the final.
SuperSport United official Coltrane Munyai has confirmed that Bhasera has arrived back at work in South Africa, and tells KickOff.com: "It was just minor injuries.
"He [Bhasera] is now back in the country," Munyai concludes.
Bhasera was part of the Zimbabwe team who finished their AFCON 2017 campaign rock bottom of Group B, having played in all three games as the Warriors managed just a single point in Gabon.