doze 
/ˈdoʊz/ verb
doz·es; dozed; doz·ing /ˈdoʊz/ verb [no obj] : to sleep lightly especially for a short period of time
▪ He was dozing [=napping] on the sofa when I got home.
▪ He was dozing [=napping] on the sofa when I got home.
doze off [phrasal verb]
: to fall asleep especially for a short period of time
▪ A few students dozed off [=nodded off, dropped off] during the movie.
▪ A few students dozed off [=nodded off, dropped off] during the movie.
— doze noun [singular]
▪ He drifted into a light doze.
▪ He drifted into a light doze.
