Ahmedabad will be the fourth time Smith has stood in for Cummins since they came together in the new leadership structure before the 2021-22 Ashes, but Smith insisted he had no interest in another full-time go at the captaincy.
"My time is done. It's Pat's team now," he said after Indore. "I've obviously been able to stand in this week, obviously in tough circumstances with Patty going home. Our thoughts are still with him back home as well."
However, he did talk about how much he enjoyed the challenge of captaining in India where he feels every move made in the field could have an impact on the match.
"It's a game of chess, every ball means something," he said. "It's probably my favourite place in the world to captain. You think back home in Australia and generally you're playing with a third slip or putting a third slip to cover or your square leg up or back or something like that. There's not too much that sort of goes on with it.
"But [in] this part of the world, you have to be really proactive. Every ball is an event and therefore can dictate what happens after, which is something that I really love and you've got to be ahead of the game."
Cummins is due to captain the ODI squad for the three-match series which follows the Tests, but a decision on his participation in that is yet to be taken. He had already opted out of this year's IPL due to the heavy international schedule. Australia will play the World Test Championship final in early June, against either India or Sri Lanka, before the five-match Ashes series - the six Tests will take place in two months.