Second-placed on the competition ladder, the Australian side have been consistent performers over the last few seasons.
Chiefs coach Clayton McMillan said: "We've been impressed with the Brumbies.
"They're playing well in Australia. They are leading the competition. They've proven their credentials against two quality New Zealand teams, so we're under no illusions around the challenges they pose this week.
"They're a balanced side, accurate. They're probably most similar to what we encounter in New Zealand in terms of style," he said.
Captain Sam Cane said it had been several years since he had played the Brumbies, but his experience had been of tough games against them.
"They've had the better of us on many occasions," he said.
They had a strong set-piece and based much of their game around that. They were good upfront with the ability to hurt teams off turnover ball.
"It'll be a good battle which we are pretty excited for," he said.
Cane, who is awaiting the birth of his first child, said it would have to be something pretty drastic to prevent him playing at the weekend.
He said it was handy to have three home games around the time the baby was due.
McMillan said he was happy to have nine out of 10 available points from their two games in Australia, but if he were awarding points for the manner of the wins, he would give them six out of 10.
"The results at the weekend showed that the Australian teams are no pushovers, particularly tough to beat at home.
"For us to win two out of two against top Australian teams, looking back now, was a good outcome and we look forward to taking on the Brumbies in our backyard and we'll find out a bit about ourselves," he said.
McMillan said concentration on scrum development over the last two seasons had made it an area of strength in their game.
"The depth of our squad means our internal trainings are often as competitive, or more competitive, than we are encountering at the weekend. That's great for us but it doesn't guarantee you dominance on the weekend. You've still got to go out and earn that," he said.
Lock Brodie Retallick is awaiting a final scan on his broken thumb to clear him to play, and he could possibly return next week.
He had been doing plenty of running and had not lost too much weight, and reports were that he was in good physical condition.