Griess was placed on injured reserve Monday with a lower-body injury.
Greiss (undisclosed) tweaked something and was unable to practice Sunday.
Greiss will command the crease Friday against the Hurricanes.
Greiss allowed five goals on 32 shots before being pulled in the third period of Friday's 7-6 overtime win against Detroit.
Greiss will defend the home net Friday against the Red Wings.
Greiss saved 52 of 56 shots during Monday's 5-4 win over Montreal.
Greiss will get the starting nod against the Canadiens on Monday.
Greiss only kicked back 26 of 31 shots in Thursday's 6-4 road loss to the Flyers.
Greiss will get the starting nod against the Flyers on Thursday.