Elliott's injury will not require surgery, according to the Blues. With Elliott for an undetermined time frame, St. Louis might turn to Brodeur to help rookie Jake Allen handle the workload.
Brodeur, 42, will join the Blues on Friday for a morning skate prior to their game against the Edmonton Oilers at Scottrade Center. He will continue to practice for at least a week before St. Louis decides whether to offer him a contract.
The Blues also recalled goalie Jordan Binnington from the Chicago Wolves of the American Hockey League on Wednesday.
"I think we looked at our schedule and we're playing four games a week," Blues coach Ken Hitchcock told NHL.com. "We have [Binnington] in the American Hockey League who's just getting his career started. We've got [Niklas Lundstrom with the Alaska Aces] in the East Coast Hockey League who's just getting his career started, and we've got [Allen] in the NHL who's getting his career started.
"In fairness to all three goalies, they need to have some support. Marty offers, depending on how he looks, he offers organizational support. I have a background with him, so we know each other."