Brown, who has been tipped for the Lions tour, repaid the Australia coach by skippering his country to their first back-to-back triumphs in the Championships since 2001.
He will be aiming to lead Scotland to their first victory over France in Paris since 1999 on Saturday night but still feels his future is uncertain.
"There's no doubt, winning makes things significantly more enjoyable, said Brown. "So I've enjoyed it. I've enjoyed being captain.
"As everybody knows, I didn't get off to the best of starts as skipper in the autumn. But I've enjoyed working with Scott and the rest of the coaches and all of the boys in the squad.
"There is no doubt the more games you get under your belt as captain, the more experience you pick up.
"But I've got no idea what's going to happen in the future. I just need to make sure after the championship I go back to Saracens and keep doing well. If I keep doing that, hopefully I'll be in the squad for South Africa."
Scotland can record their third victory in a single Six Nations campaign for just the second time but Brown reckons it has been a Championship to be proud of regardless of the result.
"It's been a really positive campaign," added Brown
"Whatever happens tomorrow, it will be our best finish since 2006, so that is a good sign but we want to make sure this is a long-term change in fortune.
"We need to start well. There's no doubt the French are a wounded animal. They will come out and absolutely fire into us.
"They have picked a massive team so they want to batter us, clearly.
"If we start well, we can put them under a bit of pressure. If we can do that, the crowd will turn against them and we can use that as a bit of a weapon.
"We're looking to meet fire with fire at the start. The French have not won yet in this championship so there is no doubt that if we begin positively, that will sow the seeds of doubt."