Purity: Shrouding a Person Who Dies in the State of Ihram
Practical Laws of Islam as per the teachings of Ayatullah Sistani
Ruling 571:
If someone in the state of iḥrām for hajj or ʿumrah dies, he must be shrouded in the same manner as other people [who die while not in the state of ihram]; and there is no problem in covering his head and face.
-Ayatullah Sistani, Practical Laws of Islam, Purification (Taharah)