dorm room vs sleeping room

dorm room and sleeping room both are nouns.

Word	Noun	Adjective	Verb	Adverb
dorm room	Yes	No	No	No
sleeping room	Yes	No	No	No

As nouns, sleeping room is a hypernym of dorm room; that is, sleeping room is a word with a broader meaning than dorm room:

Other hypernyms of dorm room include bedchamber, bedroom, chamber, sleeping accommodation.

dorm room (noun)	sleeping room (noun)
a large sleeping room containing several beds	a room used primarily for sleeping