Rian Boshoff was part of the tour group, which went out last month to look for leopards, he told ABC News. The group came across a white rhino and tried to pass it in their vehicle.
That's when the rhino began to follow the group, Boshoff said.
"At first, I just thought it's going to be like a short charge and then it would stop," he said. "The road had a lot of turns in it, which made it difficult for us to get away."
Male white rhinos can weigh has much as 3.6 tons and females can weigh 1.7 tons, according to the World Wildlife Foundation. When running, a rhino can reach speeds of up to 30 mph.
Because rhinos have poor eyesight, the driver made some maneuvers, including a 90-degree turn, to try to throw the animal off, People reported. But it was to no avail. Boshoff said the rhino seemed determined to catch up to the group.
The rhino chased the tourists for nearly two minutes before giving up. Part of the pursuit was captured on cellphone video.
The tour guide said that particular rhino had charged tour groups before, Boshoff said.
"I thought it (was) going to eat us," Boshoff said.
While it was a close call, no injuries were reported in the incident, ABC News reported.