"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
Follow NDTV for latest election news and live coverage of assembly elections 2019 in Maharashtra and Haryana.
Subscribe to our YouTube channel, like us on Facebook or follow us on Twitter and Instagram for latest news and live news updates.