Schwartz was taken to hospital earlier this week after he fell and slipped into the goalpost during a practice drill.
The team said he will be re-evaluated in 12 weeks.
Stastny will be out at least five weeks after being placed on IR because of a broken foot, Fabbri is on the injured list because of a concussion, Berglund is on LTIR because of off-season shoulder surgery while Shattenkirk has missed the last four games due to a lower-body injury.
At least one beat reporter believes the Blues could use some of their depth on defense to acquire a forward.
St. Louis begins a five-game home stand on Saturday night against the Islanders. They won’t play another road game until Nov. 4.