However, Steven Whittaker has been passed fit for the clash at Old Trafford after sitting out Saturday's Scottish Premier League win at Hamilton.
Both players picked up their injuries while on international duty with Scotland, Broadfoot forced to withdraw with an ankle knock sustained in training and Whittaker suffering a calf problem during the goalless draw in Lithuania.
Whittaker is now in contention for the much-anticipated European opener, while Broadfoot's fitness will be assessed at training on Monday evening.
Smith said: "Steven has been doing well for us and it's good to have him back for the game.
"There won't be massive changes in the team. Kirk Broadfoot is a doubt and once we know his fitness situation we will be able to sit down and select the team."
Vladimir Weiss and Kyle Lafferty were slight injury concerns over the weekend but, other than Broadfoot, Smith has no other worries ahead of Tuesday's game.
He added: "Everyone else is fit and looking forward to the game."
Rangers skipper David Weir said: "I definitely didn't think I'd be back here as a 40-year-old but these are the sort of games you want to play in and we are all looking forward to it.
"We couldn't ask for a harder game in Europe, or even the world, and it will be a big test but it's one we look forward to."