Technically, the Morokei Dragon Priest mask works fine, but the enchantment assignment for the mask is just a generic 100% magicka regeneration and in the Skyrim master there is a unique enchantment for this mask that is not being used. This little mod fixes that and gives Morokei a unique enchantment assignment like the other Dragon Priest masks. The new assignment gives 100% magicka regen plus 20% reduced time between shouts.
Version 1.1 has four .esp files, one is the regular fix - MorokeiFix.esp - the others are:
The cloth armor version removes Morokei's light armor status, for those casters out there. The No Helmet version is property of Vuradic, and removes the helmet from the character's head, allowing you to see their face while Morokei is equipped. None of these versions are compatible with other Morokei stat changes.
I haven't tried the other three versions, but some of the comments from the nexus say there are problems. As for the regular fix it works fine.