dozy

from WordNet (r) 3.0 (2006)

dozy
    adj 1: half asleep; "made drowsy by the long ride"; "it seemed a
           pity to disturb the drowsing (or dozing) professor"; "a
           tired dozy child"; "the nodding (or napping) grandmother
           in her rocking chair" [syn: {drowsy}, {drowsing(a)},
           {dozy}]

from The Collaborative International Dictionary of English v.0.48

Dozy \Doz"y\, a.
   Drowsy; inclined to doze; sleepy; sluggish; as, a dozy head.
   --Dryden.
   [1913 Webster]