Cossa turned aside 30 shots in Thursday's 5-4 overtime loss to Montreal.
Schmidt (upper body) won't return to Thursday's game versus the Canadiens.
Yamamoto (upper body) won't play Thursday versus the Canadiens.
Hart will guard the road goal versus the Red Wings on Thursday.
Olofsson (undisclosed) has been cleared to return to action for Thursday's game against the Red Wings, Danny Webster of the Las Vegas Review-Journal reports.
Cossa will patrol the road paint in Thursday's clash against the Canadiens, per Renaud Lavoie of TVA Sports.
Connelly scored a goal on four shots in Tuesday's 3-2 win over the Penguins.
Hertl scored two power-play goals on three shots in Tuesday's 3-2 win over the Penguins.
Hill stopped 23 of 25 shots in Tuesday's 3-2 win over the Penguins.