O'Driscoll was the first to leave the fray when he went off after only 13 minutes after suffering a back spasm, while fellow international D'Arcy had to be helped off the fielding the second half with a calf injury.
"We will have a look at Gordon and assess him in the next 48 hours and find out the real extent of the problem. Brian's back tightened up and he couldn't fully stretch out," said Leinster coach Schmidt.
"He wanted to carry on, but it wasn't really an option against a back line like Glasgow's. I wouldn't be too concerned, and I'm normally concerned about everything, so that's a good sign.
"We will get the glue and sticky tape out so we can put a team together for Friday and the final the week after."
As well as their two centres, Leinster saw man of the match Jamie Heaslip pick up a cut eye, hooker Richardt Strauss take a know to his knee that caused swelling and British & Irish Lions prop Cian Healy was winded.
Schmidt decided to give back row man Sean O'Brien another week to sort out his injury worries ahead of the clash with Stade Francais Paris.
We didn't want to risk playing Sean against Glasgow, but hopefully he will be alright by next Friday. I don't know we will be doing a lot in the first half of the week and we'll probably restrict our training to Tuesday and Wednesday," said Schmidt.
The RaboDirect PRO12 final will be a repeat of the 2012 Heineken Cup final with Leinster taking on Ulster Rugby at the RDS. Ulster beat the Scarlets 28-17 at Ravenhill on Friday night and will be hoping to make it a hat-trick of wins over their Irish rivals this season.
It is the fourth successive RaboDirect PRO12 final Leinster have reached, but they have yet to win one.