Greig picked up two assists, one on the power play, in Thursday's 5-4 overtime loss to the Flyers.
Greig scored a goal on three shots and added two hits in Tuesday's 5-1 loss to the Sabres.
Greig (upper body) will be in action versus Utah on Tuesday, per NHL.com.
Greig (upper body) is a possibility for Tuesday's matchup against Utah, TSN 1200 Ottawa reports.
Greig (upper body) is expected to miss a week or two, according to Bruce Garrioch of Postmedia.
Greig (upper body) won't play versus the Kings, Claire Hanna of TSN reports.
Greig is dealing with an upper-body injury though he could play Monday against the Kings, per Alex Adams of Sportsnet.
Greig (upper body) took part in Wednesday's practice, Claire Hanna of TSN reports.
Greig (upper body) won't return to Tuesday's preseason game versus the Maple Leafs.
Greig (illness) is in Monday's lineup against the Rangers.