The city government instructed schools in Delhi on Friday to remain shut until Nov. 5 as residents breathed the season's worst air for a third straight day.
Several Bangladesh players and support staff wore face masks during Friday's training at the Feroz Shah Kotla Stadium and Domingo said it was not ideal but the tourists would not make an issue out of it.
"Not obviously perfect with the smog but it's the same for both the teams," the South African told reporters.
"For sure we have some scratchy eyes, maybe a little sore throats now and then, but it's been okay. Nobody is being sick or dying or anything like that."
Delhi's notorious smog caused Sri Lankan bowler Suranga Lakmal to vomit on the field during a 2017 tests at Kotla and prompted questions about scheduling matches in northern India during winter.
Domingo referred to Bangladesh's own struggle with air pollution and said the team were not taking any special precaution.
"We know Sri Lanka struggled a bit last time. There's bit of pollution in Bangladesh as well. So it's not a massive shock to the system," Domingo said.
"You're asking the wrong person I think," said the former player from Punjab.
"I've played all my life in north India. We're used to these conditions. We are not taking any special measure. The game has been scheduled and we're here to play."
More than air quality, the tourists are struggling to cope with the absence of talismanic all-rounder Shakib Al Hasan, who was banned earlier this week for an anti-corruption breach.
"Anybody will miss Shakib...but he made a mistake and is paying the price for it," Domingo said.
"It's very tricky because Shakib bats at number three and often opens the bowling or bowls first change," Domingo said.
"So you got to decide 'whether I want to replace the batsman or I replace the bowler' because it's very difficult to replace both. Not many players provide you both skills."
"I don't think there is anyone earmarked to specifically do Shakib's job."