Greiss made 29 saves in a 2-1 shootout win over the Panthers on Thursday.
Greiss will patrol the crease in Thursday's road game against the Panthers.
Greiss stopped 29 of 32 shots in Tuesday's 4-0 loss to the Blue Jackets.
Greiss will start Tuesday's game in Columbus, Newsday's Andrew Gross reports.
Greiss was replaced by Robin Lehner in Thursday's 4-0 loss to Montreal after allowing four goals on 22 shots.
Greiss will guard the goal in Thursday's road game against the Canadiens, Brett Cyrgalis of the New York Post reports.
Greiss was sensational Sunday, making 32 saves on 34 shots in a 3-2 overtime win versus Minnesota.
Greiss will man the crease for Sunday's game in Minnesota, Andrew Gross of Newsday
Greiss led the Islanders out to the ice for pregame warmups Saturday, Brett Cyrgalis of the New York Postreports. As a result, he'll be the road starter versus the Red Wings.
Greiss made 33 saves in Thursday's 2-1 win over Montreal.