"He gets pretty emotional out there, doesn't he?"
Kohli was involved in a handful of heated spats with Australia during India's Test tour in 2014-15, while he and James Faulkner have often swapped barbs on the field this month.
Smith won't have a chance to renew the rivalry until the Twenty20 World Cup in March, with the skipper and vice-captain David Warner sitting out the remaining two T20 clashes.
Meanwhile, the 26-year-old dismissed the notion his on-pitch interview with Nine had anything to do with the dismissal.
"It was on at the time but for me it was just a bad shot," Smith said. "I tried to chip one over the top for two rather than trying to hit him for four or six.
"It was my fault and I've just got to be better next time."
Australia face India at the MCG on Friday then the SCG on Sunday.
-AAP