The Hurricanes fell behind the Rangers early in Game 7. Losing Seth Jarvis and Antti Raanta made a comeback difficult.
Jarvis suffered an upper-body injury after being struck by New York's Jacob Trouba in the first period
Monday's 6-2 defeat to the Rangers concluded their Stanley Cup second-round series.
"No, "Brind'Amour. "Tomorrow, he'll be examined. I don't know for sure, but he looked bad hobbling out of here.
Carolina let up two power-play goals in the first 10 minutes, putting them behind a Rangers defence led by Igor Shesterkin.