"I couldn't believe what I was seeing," one eyewitness, Michelle, said to ABC News. "I thought 'No, no way do you see a kangaroo in the city like that."
Traffic controllers from the Transport Management Centre and New South Wales Police monitored the wallaby. They finally managed to take it into custody near the Conservatorium of Music, before transferring it to Taronga Zoo, reports 9 News.
Watch the widely-shared video below:
Another video of the chase was shared by NSW Roads:
The wallaby has now become a social media celebrity of sorts with thousands 'liking', sharing and commenting on his videos.
According to ABC News, after being monitored for the next 24 hours, the wallaby will be released in bushland where there were other swamp wallabies.
Click for more trending news
Election Results for Lok Sabha Election 2019 will be out on May 23. Get the latest election news and live updates on ndtv.com/elections. Catch all the action on NDTV Live. Like us on Facebook or follow us on Twitter and Instagram for news updates from each of the 543 parliamentary seats for the election 2019