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1. Half asleep
   "it seemed a pity to disturb the drowsing professor";
   - drowsy, dozy, dopey, dopy

1. Have a short sleep, esp. during the day
   - nap, catnap, catch a wink [informal], kip [Brit, informal], snooze, doze, zizz [Brit, informal]
    
2. Be on the verge of sleeping
   "The students were drowsing in the 8 AM class"

See also: asleep, drowse off, sleeping

Type of: catch some Z's [N. Amer, informal], rest, sleep, slumber

Encyclopedia: Drowse