Murphy, 20, was fined $2,213.68 US, the maximum allowed under the collective bargaining agreement.
The Hurricanes blue-liner appeared to undercut Dorsett at 13:36 of the second period.
“I mean, in my opinion, that’s real dangerous,” Rangers head coach Alain Vigneault said of the hit that infuriated Dorsett’s teammates. “Any time you’re going for knees, you’re looking at career-ending injuries here.”
Dorsett appeared fine after the hit.
“That was borderline very, very dangerous,” Vigneault added.